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o - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - o - - - November 15, 1997 - - O P - S F N E T Volume 4, Number 6 - - ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ - - Editors: - - Tom H. Koornwinder thk@wins.uva.nl - - Martin Muldoon muldoon@yorku.ca - - - - The Electronic News Net of the SIAM Activity Group - - on Orthogonal Polynomials and Special Functions - - - - Please send contributions to: poly@siam.org - - & address changes to: poly-request@siam.org - - - o - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - o See Topic #26 for new alternative way to subscribe to OP-SF NET. See Topic #27 for the announcement of a listserv for OP & SF. Today's Topics: 1. Tricomi Centennial Conference 2. Special Functions Day, Amsterdam 3. Formal Power series and Algebraic Combinatorics - FPSAC 98 (Toronto) 4. Research Conference in q-Series, Combinatorics and Computer Algebra (Massachusetts) 5. Orthogonal Polynomials: Numerical and Symbolic Algorithms: Madrid Workshop 6. Conference on Lattice Paths Combinatorics and Applications, Vienna 7. International Workshop on Self-Similar Systems (Dubna) 8. Reports on SPOA VIII at Sevilla 9. SPOA Report by Connett and Schwartz 10. New trends in OP from the Sevilla conference (Kuijlaars) 11. Impressions from the Sevilla conference (Roesler and Voit) 12. Recent International Workshop at RIMS, Kyoto 13. Report on RIMS workshop, Kyoto (Dijkhuizen) 14. Review of "A = B" by Petkovsek et al. 15. q-Zeilberger algorithm in Mathematica updated 16. PhD project on History of Orthogonal Polynomials 17. "Don't Stop the Problems" (Doron Zeilberger) 18. Further comments on SIAM Review Problem Section 19. Comments from SIAM Journals Publisher on Problem and Solutions Section 20. Lambert-W function and OPSF Flamesite? (William Gosper) 21. SIAM Student Paper Prizes 22. SIAM Student Travel Awards 23. W.T. and Idalia Reid Prize 24. Preprint Archive for papers in Orthogonal Polynomials and Special Functions (Hans Haubold) 25. Changes of Address, WWW Pages, etc. 26. Alternative way to subscribe to OP-SF NET 27. Starting a new listserv for discussions on OP & SF 28. Obtaining back issues of OP-SF NET and submitting contributions to OP-SF NET and Newsletter Calendar of Events: 1997 November 28-December 2: Tricomi Centennial Conference, Rome and Turin, Italy 4.6 #1 December 2: Special Functions Day, Amsterdam, The Netherlands 4.6 #2 1998 March 22-28: Meeting on Applications and Computation of Orthogonal Polynomials, Oberwolfach, Germany 4.3 #6 May 16-22: Symmetries and Integrability of Difference Equations, Sabaudia, Italy 4.5 #5 June 15-19: Formal Power Series and Algebraic Combinatorics, Toronto, Canada 4.6 #3 June 21-25: q-Series, Combinatorics and Computer Algebra, South Hadley, Massachusetts, USA 4.6 #4 June 29-July 2: Workshop on Orthogonal Polynomials: Numerical and Symbolic Algorithms, Madrid, Spain 4.6 #5 July 8-10: Conference on Lattice Paths Combinatorics and Applications, Vienna, Austria 4.6 #6 July 13-17: SIAM Annual Meeting, Toronto, Canada July 30 - August 7: International Workshop on Self-Similar Systems Dubna, Russia 4.6 #7 Topic #1 ------------ OP-SF NET 4.6 ------------ November 15, 1997 From: Giampietro Allasia <ticam@dm.unito.it> Subject: Tricomi Centennial Conference TRICOMI's IDEAS and CONTEMPORARY APPLIED MATHEMATICS Convegno Internazionale in occasione del CENTENARIO DELLA NASCITA DI FRANCESCO G. TRICOMI Rome, November 28-29, 1997 Turin, December 1-2, 1997 Purpose of the conference The Accademia Nazionale dei Lincei and the Accademia delle Scienze di Torino, jointly with the Universita' di Torino and the Politecnico di Torino, organize an international conference to celebrate the 100th anniversary of the birth of FRANCESCO G. TRICOMI. The main subjects of the conference will be: Partial Differential Equations, Singular Integral Equations, Transonic Aerodynamics, Special Functions and Ordinary Differential Equations. The first three subjects will be discussed in Rome, while the other two in Turin. Tricomi's work on these subjects has been of fundamental importance and the conference intends to focus the influence of Tricomi's ideas in contemporary applied mathematics, giving at the same time a picture of the state of the art. Organizing Committee: G. Allasia, L. Amerio, A. Conte, D. Galletto, L. Gatteschi, P. Germain, G. Grioli, E. Magenes, E. Marchi, C. Morawetz, S. Nocilla, O. Oleinik, R. Piva, G. Salvini, E. Vesentini. Local Organizing Committee (Turin): G. Allasia, S. Benenti, A. Conte, R. Conti, D. Galletto, B. Gabutti, L. Gatteschi, F. Lerda, R. Malaroda, S. Nocilla, F. Skof, E. Vesentini. Conference Location: Rome, Accademia Nazionale dei Lincei, Palazzo Corsini, Via della Lungara 10 Turin, Universita' degli Studi, Aula Magna, Via Verdi 8 Accademia delle Scienze di Torino, Via Maria Vittoria 3 Program: Friday, November 28 Accademia Nazionale dei Lincei 9.30 Opening 10.00 P. GERMAIN (Paris, France): Tricomi problem and fundamental solution for Tricomi problem. 11.00 Coffee-break 11.15 G. MORETTI (Burlington, Vermont, USA): Lights and shadows of transonic aerodynamics across a century. 12.15 D. GOTTLIEB (Providence, Rhode Island, USA): The use of special functions in the numerical solutions of nonlinear hyperbolic equations. 15.00 W. WENDLAND (Stuttgart, Germany): On boundary integral equations and applications. 16.00 Coffee- break 16.15 J.-C. NEDELEC (Palaiseau, France): The use of integral equations for harmonic Maxwell equations. 17.15 S. PROESSDORF (Berlin, Germany): Approximation methods for integral equations using splines and wavelets. Saturday, November 29 Accademia Nazionale dei Lincei 9.30 E. I. MOISEEV (Moscow, Russia): On spectral problems for the Tricomi equation. 10.30 G. MONEGATO (Torino, Italy): Numerical resolution of the generalized airfoil equation with Possio kernel. 11.30 Coffee-break 11.45 O. A. OLEINIK (Moscow, Russia): Free boundary problems for backward parabolic equations. Monday, December 1 Aula Magna, Universita' di Torino 9.30 Opening 10.00 A. CONTE (Torino, Italy): Francesco G. Tricomi maestro a Torino. 11.50 Coffee-break 11.20 R. ASKEY (Madison, Wisconsin, USA): Hermite and Laguerre polynomials and extensions. Accademia delle Scienze di Torino 15.00 L. GATTESCHI (Torino, Italy): New results on some two- dimensional iterative algorithms. 15.50 B. C. CARLSON (Ames, Iowa, USA): Elliptic integrals: symmetry and symbolic integration. 16.40 Coffee-break 17.10 N. TEMME (Amsterdam, The Netherlands): Recent problems from uniform asymptotic analysis of integrals. Tuesday, December 2 Accademia delle Scienze di Torino 9.30 W. GAUTSCHI (West Lafayette, Indiana, USA): The incomplete gamma function since Tricomi. 10.20 F. W. J. OLVER (College Park, Maryland, USA): Asymptotic and numerical solutions of linear differential equations. 11.10 Coffee-break 11.40 J. MAWHIN (Louvain la Neuve, Belgium): The forced pendulum equation: a challenging problem for the qualitative theory of ordinary differential equations. Accademia delle Scienze di Torino 15.00 F. LERDA (Torino, Italy): Formally linear methods for nonlinear ordinary differential equations. 15.50 F. ZANOLIN (Udine, Italy): Time-maps and boundary value problems for ordinary differential equations. 16.40 Coffee-break 17.10 E. REGAZZINI (Milano, Italy): Some examples of the interplay between special functions and statistics. Further information (including registration info): e-mail ticam@dm.unito.it fax +39 11 670 2878 (to Giampietro Allasia) Sponsors: Associazione degli Amici dell'Accademia dei Lincei Consiglio Nazionale delle Ricerche (Comitato Nazionale per le Scienze Matematiche, Gruppo Nazionale Analisi Funzionale e Applicazioni, Gruppo Nazionale Fisica Matematica, Gruppo Nazionale Informatica Matematica) Regione Piemonte Fondazione Cassa di Risparmio di Torino Fondazione Istituto Bancario San Paolo di Torino Giampietro Allasia Topic #2 ------------ OP-SF NET 4.6 ------------ November 15, 1997 From: Tom H. Koornwinder <thk@wins.uva.nl> Subject: Special Functions Day, Amsterdam SPECIAL FUNCTIONS DAY Tuesday, 2 December 1997, University of Amsterdam, Department of Mathematics 10.30-11.30: M. Zygmunt (Warsaw, Poland), Matrix moment problem and matrix-valued orthogonal polynomials 12.00-13.00: S.B. Yakubovich (Minsk, Belarus; temporarily Leuven, Belgium), On the variety of integral transformations of the Kontorovich-Lebedev type 14.30-15.30: M. Roesler (Muenchen, Germany), Positivity of Dunkl's intertwining operator 16.00-17.00: S.O. Warnaar (Amsterdam), The Bailey Lemma Location: building Euclides, room P015A, Plantage Muidergracht 24, Amsterdam Organizer: Tom H. Koornwinder, UvA, tel. 020-525 5297, email thk@wins.uva.nl Financial support has been given by Stichting Wiskunde Onderzoek Nederland (SWON) Further information: http://turing.wins.uva.nl/~thk/specfunday.html Tom Koornwinder Topic #3 ------------ OP-SF NET 4.6 ------------ November 15, 1997 From: Nantel Bergeron <bergeron@mathstat.yorku.ca> Subject: Formal Power series and Algebraic Combinatorics - FPSAC 98 % ********************************************************************** % % % % 10-th international Conference on % % Formal Power Series and Algebraic Combinatorics % % % % June 15-19, 1998 % % Fields Institute, Toronto % % % % First announcement -- Call for papers % % % % ********************************************************************** % TOPICS: Algebraic and bijective combinatorics and their relations with other parts of mathematics, computer science and physics. CONFERENCE PROGRAM: Invited lectures, contributed presentations, poster session, software demonstrations. INVITED SPEAKERS: G. Benkart (USA) P. Cameron (England) (to be confirmed) P. Dehornoy (France) B. Derrida (France) (to be confirmed) P. Diaconis (USA) C. Godsil (Canada) K. Ono (USA) J. Y. Thibon (France) B. Sturmfels (USA) OFFICIAL LANGUAGES: English and French. CALL FOR PAPERS AND POSTERS: Authors are invited to submit extended abstracts of at most twelve pages before November 21, 1997. ------------------ Authors should indicate their choice of presentation appropriate for their paper: lecture or poster session. The preferred method of submission is by sending one postscript file by email to bergeron@mathstat.yorku.ca. If an author is not able to send a postscript version of her/his extended abstract, four copies of the extended abstract should be mailed to Nantel Bergeron, Program committee of FPSAC '98 Department of Mathematics and Statistics 61 York University 4700 Keele St. North York, Ontario, Canada, M3J 1P3. The submitted papers should begin with a summary written in the two official languages of the conference (translations will be provided if necessary). The notifications of acceptance or rejection are scheduled for the beginning of March 1998. Published Volume: The authors whose papers will have been accepted for a lecture or a poster presentation will have the possibility to submit a complete version of their work to a special issue of a refereed publication devoted to the conference FPSAC '98. The deadline for submission to the special issue is September 1, 1998. SOFTWARE DEMONSTRATIONS: Demonstrations of software relevant to the topics of the conference are encouraged. People interested in giving a software demonstration should submit a paper as described above, including the hardware requirements, before January 15, 1997, by email to sottile@math.toronto.edu. PROGRAM COMMITTEE: I. Goulden, Chairman (Canada), N. Bergeron (Canada), S. Billey (USA), F. Brenti (Italy), R. Cori (France), S. Dulucq (France) K. Eriksson (Sweden), O. Foda (Australia), S. Fomin (USA/Russia), I. Gessel (USA), C. Greene (USA), A. Hamel (New Zealand), D. Kim (Korea), C. Krattenthaler (Austria), D. Krob (France), M. Noy (Spain), V. Reiner (USA), C. Reutenauer (UQAM), F. Sottile (U. Toronto), T. Visentin (U. Winnipeg). M. Wachs (USA), H. Yamada (Japan), G. Ziegler (Germany). For more Information on registration and support, consult the WWW site http://www.math.yorku.ca/bergeron or email bergeron@mathstat.yorku.ca. ORGANIZING COMMITTEE N. Bergeron, Chairman (York U.), M. Delest (U. de Bordeaux), F. Sottile (U. Toronto), W. Whiteley (York U.). Nantel Bergeron Topic #4 ------------ OP-SF NET 4.6 ------------ November 15, 1997 From: OP-SF NET Editor <muldoon@yorku.ca> Subject: Research Conference in q-Series, Combinatorics and Computer Algebra As one of the "Joint Summer Research Conferences in the Mathematical Sciences", a Conference on "q-Series, Combinatorics and Computer Algebra" will be held at Mount Holyoke College, South Hadley, Massachusetts, USA, June 21-25, 1998. The co-chairs are Mourad Ismail (ismail@math.usf.edu) and Dennis Stanton (stanton@math.umn.edu). The topics to be covered will include: (1) classical q-series, number theory and orthogonal polynomials, (2) multivariable polynomials and quantum groups, (3) applications of computer algebra packages to combinatorial problems, (4) applications of q-series to physical problems. Preliminary list of speakers: George Andrews Richard Askey Pavel Etinghof Dominique Foata George Gasper Ira Gessel R. William Gosper Christian Krattenthaler Tom Koornwinder Steve Milne Ken Ono Doron Zeilberger Those interested in attending and in possible financial support should contact the Summer Research Conference Coordinator, American Mathematical Society (e-mail: rgc@ams.org). The above information is summarized from the print version of the Notices of the American Mathematical Society, November 1997, pp. 1412-1414. However, the list of topics and speakers for this conference is mistakenly transposed to the announcement of the conference on "Geometric Group Theory and Computer Science" (July 5-9). Topic #5 ------------ OP-SF NET 4.6 ------------ November 15, 1997 From: Renato Alvarez-Nodarse <renato@dulcinea.uc3m.es> Subject: Orthogonal Polynomials: Numerical and Symbolic Algorithms International Workshop on Orthogonal Polynomials: Numerical and Symbolic Algorithms, Madrid, June 29-July 2, 1998 First announcement It is well-known that increasing attention has been paid in recent years to the theory of Orthogonal Polynomials. This is due, in particular, to their applications in areas like numerical integration, spectral methods, interpolation, approximation theory, etc. and also in combinatorics, mathematical physics, quantum physics, etc. For this reason the Universidad Carlos III de Madrid organizes an international workshop devoted to this topic every two years. The first workshop in 1992 was dedicated to Sobolev orthogonal polynomials, the second, in 1994 to polynomials orthogonal in the unit circle, and the most recent one, in 1996, to the applications of orthogonal polynomials in mathematical physics. The main aim of the next (1998) Workshop is that a relatively small number of invited mathematicians discuss and review recent progress of the Theory of Orthogonal Polynomials with special emphasis on numerical applications and symbolic algorithms. The Workshop will take place in the main building of the Escuela Politecnica Superior, Universidad Carlos III de Madrid, Leganes (Madrid). The topics to be considered will be: 1. Quadrature formulas 2. Spectral methods in boundary value problems 3. Numerical Linear Algebra 4. Symbolic algorithms and software 5. Combinatorics It will be possible for interested participants to present their own contributions in the above mentioned areas. Because the limited number of short communications we ask participants who want to present their works to send us, as soon as possible (March 31, 1998), the abstract (no more than one page). Priority will be given to those talks closely related to the main subject of the Workshop. The invited speakers are: - Walter Gautschi (Purdue University, USA) - Gene Golub (Stanford University, USA) - Wolfram Koepf (Konrad-Zuse-Zentrum, Berlin, Germany) - Yvon Maday (Universite Pierre et Marie Curie, France) - Marko Petkovsek (University of Ljubljana, Slovenia) - Doron Zeilberger (Temple University, USA) The Proceedings: We will prepare a special monograph containing the Proceedings of the Workshop. Registration fee: 15.000 ptas.; includes lunch and the Proceedings. The Organizing Committee is: - M. Alfaro (Univ. de Zaragoza), - R. Alvarez-Nodarse (Secretary) (Univ. Carlos III), - J. Arvesu (Univ. Carlos III), - F. Marcellan (Chairman) (Univ. Carlos III). The Scientific Committee is: - R. Alvarez-Nodarse (Univ. Carlos III), - J. S. Dehesa (Univ. de Granada), - E. Godoy (Univ. de Vigo), - G. Lopez Lagomasino (Univ. Carlos III), - F. Marcellan (Chairman) (Univ. Carlos III) and - A. Zarzo (Univ. Politecnica de Madrid). Invited Talks (60 min.): - Walter Gautschi, "Orthogonal Polynomials and Quadrature" and "Rational Gauss-type Quadrature Rules" - Gene Golub, "Matrices, moments and quadrature" and "Solution of regularized systems" - Wolfram Koepf, "Software for the Algorithmic Work with Orthogonal Polynomials and Special Functions" - Marko Petkovsek, no title yet - Doron Zeilberger, "The Unreasonable Power of Orthogonal Polynomials in Combinatorics, I and II" - Yvon Maday, no title yet To get more information please contact: R. Alvarez-Nodarse F. Marcellan Departamento de Matematicas Escuela Politecnica Superior Universidad Carlos III de Madrid Butarque 15, 28911, Leganes, Madrid fax: +34-1 624-94-30 phone: +34-1 624-94-70, +34-1 624-94-42 e-mail: iwop98@dulcinea.uc3m.es For updated information visit the IWOP'98 WWW page http://dulcinea.uc3m.es/users/workshop/iwop98.html. On http://dulcinea.uc3m.es/users/workshop/iwop96.html you will find information about the most recent Workshop on Orthogonal Polynomials held in Leganes on June 24-26, 1996. R. Alvarez-Nodarse Topic #6 ------------ OP-SF NET 4.6 ------------ November 15, 1997 From: Walter B"ohm <boehm@wu-wien.ac.at> Subject: Conference on Lattice Paths Combinatorics and Applications, Vienna ************************************************************************** * 4th International Conference on * * Lattice Paths Combinatorics and Applications * * * * First announcement -- Call for papers * * * * July 8-10, 1998 * * * * University of Vienna, Vienna, Austria * * * * This conference is dedicated to the Memory of * * T.V. Narayana. * * * ************************************************************************** Topics to be covered by the conference include o lattice paths and boundaries o plane partitions o Young tableaux o q-calculus o orthogonal polynomials o random walk problems o nonparametric statistical inference o discrete distributions and urn models o queueing theory o analysis of algorithms Submission of papers: Authors are invited to submit abstracts of at most four pages before February 1, 1998. Preferred way of submission is by sending ONE postscript file by email to boehm@isis.wu-wien.ac.at. If an author is not able to send a postscript version of her/his extended abstract, four copies of the extended abstract should be mailed to Walter B"ohm, Department of Statistics, University of Economics and Business Administration, Augasse 2-6, A-1091 Vienna, Austria. Authors are also requested to indicate how much time they will need to present their talks. The complete versions of the papers to be presented should be received not later than July 10, 1998. After a standard refereeing process papers accepted by the scientific committee will be published in a special issue of the Journal of Statistical Planning and Inference. Location: The conference will take place at the Institut f"ur Mathematik of the Universit"at Wien. The first talk is scheduled on July 8, 1998 at 9:00 a.m. Organizing committee: W. B"ohm, University of Economics, Vienna, Austria Ch. Krattenthaler, University of Vienna, Austria S.G. Mohanty, McMaster University, Canada K. Sen, University of Delhi, India Scientific committee N. Balakrishnan, McMaster University, Canada Ch. Charalambides, University of Athens, Greece E. Csaki, Hungarian Academy of Science, Hungary I. Gessel, Brandeis University, U.S.A. A.W. Kemp, University of St. Andrews, Scotland C.D. Kemp, University of St. Andrews, Scotland S.G. Mohanty, McMaster University, Canada H. Niederhausen, Atlantic University, U.S.A. Further Information: A WWW site http://www.wu-wien.ac.at/wwwu/institute/stat1/lp/lp.html has been set up for the conference which will always contain the latest state of affairs. For any further question, please just write to Walter B"ohm, Department of Statistics, University of Economics and Business Administration, Augasse 2-6, A-1091 Vienna, Austria. Tel.: +43-1-31336/4755, Fax: +43-1-31336/774, E-mail: boehm@isis.wu-wien.ac.at. Topic #7 ------------ OP-SF NET 4.6 ------------ November 15, 1997 From: Vyacheslav Spiridonov <svp@thsun1.jinr.dubna.su> Subject: International Workshop on Self-Similar Systems FIRST ANNOUNCEMENT ---------------------------------------------------------------------- International Workshop "SELF-SIMILAR SYSTEMS" Dubna, Russia, July 30 - August 7, 1998 GENERAL INFORMATION: The Bogoliubov Laboratory of Theoretical Physics of the Joint Institute for Nuclear Research organizes an International Workshop 'Self-similar systems'. The workshop will be held in Dubna, a small quiet town surrounded by forest on the bank of the Volga river, 120 km north of Moscow. It will start on Thursday morning July 30 and end Friday August 7, 1998. The Workshop will be devoted to diverse aspects of self-similar systems. The main attention will be paid to mathematically justified theories (the wavelet analysis, solvable models of self-organized criticality, quasicrystals, etc). There will be a special session (around 5-6 August) devoted to the commemoration of the centenary of Ya. L. Geronimus. This will put a particular emphasis upon orthogonal polynomials (general theory and classical, semi-classical, Laguerre-Hahn polynomials, etc). An expected number of participants is 50-60, including a number of people invited by organizers and students. There will be review lectures of 45 min and shorter special seminars for experts. Selection of talks is by the advisory and organizing committees. Due to the interdisciplinary character of the workshop, there will be introductory mini-courses: "Time-frequency analysis and wavelets" by B. Torresani, "Wavelets and multifractals" by S. Jaffard and "Discretizations in Lie groups" by A. Iserles. TOPICS TO BE COVERED: - Wavelets and other self-similar functions - Self-organized criticality - Multifractals - Orthogonal polynomials - Eigenvalue problems with the singular continuous spectra - Quasicrystals - Self-structuring phenomena and turbulence - Difference equations and numerical methods ADVISORY COMMITTEE: R. Askey (Madison) D. Dhar (Bombay) A. Iserles (Cambridge) S. Jaffard (Paris) V.K. Mel'nikov (Dubna) J. Patera (Montreal) M. Schroeder (Gottingen) A.N. Sharkovsky (Kiev) K. Sneppen (Copenhagen) ORGANIZING COMMITTEE: V.B. Priezzhev (BLTP JINR) priezzvb@thsun1.jinr.ru V.P. Spiridonov (BLTP JINR) svp@thsun1.jinr.ru A.L. Baranovski (LCTA JINR) L.B. Golinskii (ILT, Kharkov) E.N. Rusakovich (JINR Internat. Dept.) A.M. Povolotsky (BLTP JINR) - Scientific secretary APPLICATION: A registration form is attached. It should be returned to the Scientific secretary by e-mail povam@thsun1.jinr.ru not later than March 31, 1998. POST ADDRESS: Prof. V.B. Priezzhev or Dr. V.P. Spiridonov Bogoliubov Laboratory of Theoretical Physics Joint Institute for Nuclear Research 141980 Dubna, Moscow region, RUSSIA FAX: (7-09621) 6-50-84 INTERNET: http://thsun1.jinr.ru/meetings/ CONFERENCE FEE: The Workshop fee for 10 days is 450 USD. It includes transportation from Moscow airports (or train stations) to Dubna (2 hours drive) and back, hotel accommodations (rates for double occupancy), coffee breaks, reception and a social program. For those who cannot participate for full length the fee will be reduced by an appropriate amount. The fee for accompany persons is 200 USD. The number of supporting grants for students will be determined after obtaining responses from funding organizations. The fee will be accepted in cash during the registration in Dubna. ********************* REGISTRATION FORM ********************** The International Workshop "SELF-SIMILAR SYSTEMS" Dubna, Russia, July 30 - August 7, 1998 NAME: .................. FIRST NAME: ........................... I would like to give a talk (title and a short abstract): ...... ................................................................ Affiliation (address), position: ............................... Phone:..................... Fax: ............................... E-mail: ........................................................ Further details and the visa application form will be sent separately. Please return to M.A. Povolotsky by e-mail povam@thsun1.jinr.ru or fax (7-09621) 6-50-84. ************************************************************** Topic #8 ------------ OP-SF NET 4.6 ------------ November 15, 1997 From: OP-SF NET Editor <thk@wins.uva.nl> Subject: Reports on SPOA VIII at Sevilla The VIII Simposium sobre Polinomios Ortogonales y sus Aplicaciones was held in Sevilla during 22-26 September 1997. It is the eighth in a line of symposia on orthogonal polynomials and their applications which are held in Spain once a year. But it fits also into a series of major European conferences on orthogonal polynomials (Bar-le-Duc, Segovia, Erice, Delft, Sevilla). In particular, conferences of this last series try to offer a state of the art, although no conference nowadays will cover the whole are of orthogonal polynomials and special functions. Therefore it seemed appropriate to ask a few people to report on the Sevilla conference. Bill Connett and Alan Schwartz describe the general setting. Next Arno Kuijlaars on the one hand and Margit Roesler and Michael Voit on the other hand discuss, each from their own specialism and taste, the scientific trends which became apparent from the lectures in Sevilla. Topic #9 ------------ OP-SF NET 4.6 ------------ November 15, 1997 From: Bill Connett <connett@arch.umsl.edu> and Alan Schwartz <schwartz@arch.cs.umsl.edu> Subject: Report on SPOA VIII at Sevilla VIII SIMPOSIUM SOBRE POLINOMIOS ORTOGONALES Y SUS APLICACIONES Facultad de Matematicas Universidad de Sevilla Sevilla, 22-26 September 1997 This international conference had approximately 150 registrants. It featured ten plenary talks and approximately 70 talks in the research seminars. It also included the most memorable opening session in recent memory. This session took place in the main university building which was formerly the tobacco factory made famous in the opera Carmen. The Chairman of the Organizing Committee, Professor Duran, entertained us with a list of the organizations that had promised support for this conference, and expressed his gratitude for that support, carefully titrated to reflect the degree to which the organizations had fulfilled their promises. This candor was very much appreciated by those members of the audience that had struggled with similar problems in the past. The Vice-Rector of the University then gave an elegant and emotional speech comparing the researchers' pursuit of mathematics to Don Pedro's pursuit of Carmen, with a number of interesting asides about the complexity and volatility of our beloved mathematics, and the dangers inherent in the pursuit of such a coy and demanding muse. In any event, the audience was afire with passion, and greeted the first plenary speaker, Herbert Stahl, as the young matador leading the corrida. We were not disappointed, Professor Stahl gave an elegant and enlightening performance. This was a very full meeting with sessions from 9:30 in the morning until 6:00 or 7:00 in the evening, but the organizers fitted in three very pleasant events. The participants were treated to an evening tour of the Cathedral (third largest in Europe), the Giralda tower (the bell tower, formerly a mosque), Los Reales Alcazares (the Mudjehar Royal Palace) and the Bario de Santa Cruz (former Jewish quarter), so we had ample opportunity to contemplate Spain's Muslim, Jewish and Christian Heritage. The conference dinner, a sumptuous affair, took place in the Gardens of Villa Luisa. An evening of Flamenco was provided for Friday night. Of course, many extracurricular excursions were mounted to sample the delights of this wonderful city. The program of plenary talks: - Daniel Alpay, "Exact formulas for continuous and discrete orthogonal polynomials with rational weights and applications to solutions of inverse spectral problem" - Alexandre Aptekarev, "Asymptotics of general multiple orthogonal polynomials" - Richard Askey, "Combinatorics of the classical orthogonal polynomials" - T. H. Koornwinder, "A survey of symbolic computation for orthogonal polynomials and special functions" - A. L. Levin and D. S. Lubinsky (speaker), "Orthogonal polynomials for exponential weights" - A. Martinez, "Asymptotic properties of Sobolev orthogonal polynomials" - E. A. Rakhmanov, "Constrained equilibrium measure and zero distribution of discrete orthogonal polynomials" - E. B. Saff, "Zeros of orthogonal polynomials" - Herbert Stahl, "Spurious poles of Pade approximants" - Vilmos Totik, "Orthogonal polynomials with respect to varying weights and the so called universality law" Special mention must be make of Professor Lubinsky's presentation, which set a new and very high standard for multimedia presentations. Every theorem by a famous person was accompanied with an historic photograph or drawing, and the mathematics wizard managed to place an interesting and appropriate cartoon on every slide, frequently drawing attention to some of the more surprising moments in the line of argument. This sets the new standard in presentation which Doron Zeilberger can now aim for. All the participants were grateful for the efforts made by the organizing committee A.J. Duran, P. Lopez-Rodriguez, and J.C. Medem of the University of Sevilla. The gratitude extended beyond their efforts in organizing the meeting, providing comfortable accommodations, and arranging the cultural events. We are all grateful for the opportunity to visit this beautiful old city. William C. Connett and Alan L. Schwartz Topic #10 ------------ OP-SF NET 4.6 ------------ November 15, 1997 From: Arno Kuijlaars <maarno@math.cityu.edu.hk> Subject: New trends in OP from the Sevilla conference New trends in orthogonal polynomials from the Sevilla conference The impression from the Sevilla meeting is that the field of orthogonal polynomials is still very much alive. A number of new directions have appeared where new results were obtained and more developments are to be expected. Of course, my impression is biased by my own interests, which is in asymptotics. This area was very well represented in Sevilla and in the plenary talks in particular. E.A. Rakhamnov reported on his very elegant results on asymptotics for polynomials satisfying a discrete orthogonality. This work has already attracted a number of follow-up papers, and the interest is continuing to grow, especially in the direction of strong asymptotics. Another direction that has grown in importance over the last few years, is the theory of matrix orthogonal polynomials, as witnessed by the plenary talks of D. Alpay and E.B. Saff. There is continuing interest in the theory of Sobolev orthogonal polynomials, with main contributions from the large and active Spanish school. A review on asymptotic results was presented by A. Martinez. It is clear that progress has been made in recent years. Multiple orthogonality has been a favourite with the Russian school. It deserves wider interest, because of its connections with simultaneous Pade approximation and irrationality proofs in number theory. The topic was reviewed by A. Aptekarev. Of basic importance remain the applications of orthogonal polynomials in mathematical physics. Relations with integrable systems and random matrices were discussed in a number of talks (e.g. Chen, Grunbaum, Kaliaguine, Totik). One of the highlights of the Sevilla meeting was V. Totik's announcement of a proof of the universality conjecture in random matrices using clever estimates on orthogonal polynomials. This kind of interaction with other areas keeps our field alive. Arno Kuijlaars Topic #11 ------------ OP-SF NET 4.6 ------------ November 15, 1997 From: Margit Roesler <roesler@mathematik.tu-muenchen.de> and Michael Voit Subject: Impressions from the Sevilla conference Impressions from the Sevilla conference This symposium has its roots in a series of Spanish meetings during the 1980's. Since then, it has become a constantly growing international meeting ground for scientists working on special functions and their applications. The present meeting was attended by about 150 participants from all over the world. There were 10 one-hour plenary talks (see the list in the report of Bill Connett and Alan Schwartz), and about 70 research talks which were held in four parallel sessions. In fact, the program was quite dense, and it was often difficult for us to decide in which session we should attend. Nevertheless, we had the impression that the arrangement of the sessions was carefully planned; as far as possible, the afternoon sessions were dedicated to particular topics. Here the variety was very broad: there were sessions on more classical aspects of orthogonal polynomials including asymptotics, zeros, and moment problems, as well as Sobolev orthogonal polynomials, q-special functions, and multivariable aspects. Several sections were devoted to applications in approximation theory, differential equations, mathematical physics, and probability theory. Finally, a special computer algebra session was organized by SCAGOP (Spanish Computer Algebra Group on Orthogonal Polynomials). Compared to earlier conferences of this kind (like Delft or Granada), we here in particular enjoyed a growing emphasis on multivariable structures and a strong impact from problems in mathematical physics and probability theory. As usual at conferences of this size, the scientific level of the talks was varied. Among the plenary lectures, we were in particular impressed by the opening lecture of Herbert Stahl and the excellent performance of Doron Lubinsky. The organization of the symposium was almost perfect - except for the queues at the computer facilities. Most participants were conveniently accommodated at the Residence Hernando Colon. Besides the intense scientific part of the conference, an extraordinary program of social activities was offered; here we especially remember the conference dinner in the Gardens of Villa Luisa and the (almost?) authentic Flamenco show on Friday night. The organizing committee, consisting of A.J. Duran, P. Lopez-Rodriguez, and J.C. Medem, has really done a great job! Margit Roesler and Michael Voit Topic #12 ------------ OP-SF NET 4.6 ------------ November 15, 1997 From: OP-SF NET Editor <thk@wins.uva.nl> Subject: Recent International Workshop at RIMS, Kyoto At RIMS (Research Institute of Mathematical Science, Kyoto, Japan) an international workshop on "Invariant Differential Operators, Special Functions and Representation Theory" was held during October 20-31, 1997. The organizer was Toshio Oshima (University of Tokyo). I take the following information from the URL http://w3rep.math.h.kyoto-u.ac.jp/projecte.html#meeting. In the next Topic Mathijs Dijkhuizen, who participated, will give a report. One half of the workshop (the second week) was devoted to "Integrable systems of difference and differential equations" The main speakers, with series of 3 or 4 lectures each, were Eric M. Opdam (Leiden Univ.): Dunkl Operators Abstract: In these lectures I will give an overview of results on Dunkl's "differential-reflection" operators, up to the most recent developments. Mainly I will concentrate on the (differential) trigonometric case, the case of the Dunkl-Cherednik operators, because in this case the theory has reached the most mature level at present. And also there are several older theorems and applications whose proofs can be polished by modern methods, but many of these things were never written. So I feel that giving such a series of lectures can be rewarding, and I am happy to embark on such a project. Roughly, I have in mind to treat the following subjects: 1. DEFINITION AND BASIC ANALYTIC RESULTS. The Knizhnik-Zamolodchikov connection, the Harish-Chandra system, monodromy representation, the shifting principle, asymptotic expansions, the Gauss' summation formula. 2. ALGEBRAIC PROPERTIES. Nonsymmetric orthogonal polynomials, the graded Hecke algebra, (affine) intertwiners, the recursion formula of Knop and Sahi. 3. HARMONIC ANALYSIS. The Fourier transform for the Dunkl-Cherednik operators, the Paley Wiener theorem, the action of the affine Weyl group. 4. RESIDUE CALCULUS FOR ROOT SYSTEMS. The Plancherel measure for the attractive case; classification of all square integrable eigenfunctions, and their explicit norms. S. Ruijsenaars (CWI, Amsterdam): Special functions solving analytic difference equations Abstract: * I Generalized gamma functions * II A generalized hypergeometric function * III Generalized Lame functions I. We discuss a new solution method for difference equations of the form F(z+ia/2)/F(z-ia/2) = Phi(z), with Phi(z) meromorphic and free of zeros and poles in a strip |Im(z)| < C. The method gives rise to generalized gamma functions of hyperbolic, elliptic and trigonometric type (Euler's gamma function being of rational type), whose properties we sketch. II. The hyperbolic gamma function can be used as a building block to construct a novel generalization of the hypergeometric function _2 F_1 . The new function is a simultaneous eigenfunction of four independent hyperbolic difference operators of Askey-Wilson type. The integral representation through which this joint eigenfunction is defined generalizes the Barnes representation for _2 F_1. It is meromorphic and has various remarkable symmetry properties that are not preserved for its q -> 1 ( or `nonrelativistic') limit _2 F_1. III. The `q=1/nonrelativistic' Lame differential operator can be generalized to a `q \ne 1/relativistic' difference operator. (The latter may be viewed as the Hamiltonian defining the elliptic relativistic Calogero-Moser N-particle system for N=2.) We present eigenfunctions of this operator. They are in fact joint eigenfunctions of three independent difference operators. The functions are used to define the Hamiltonian as a self-adjoint operator on a Hilbert space. Their asymptotics is governed by a c-function that is a quotient of two elliptic gamma functions. Topic #13 ------------ OP-SF NET 4.6 ------------ November 15, 1997 From: Mathijs S. Dijkhuizen <msdz@math.s.kobe-u.ac.jp> Subject: Report on RIMS workshop, Kyoto SOME IMPRESSIONS FROM THE WORKSHOP AT RIMS The international workshop at RIMS late October was part of the scientific activities organized in the framework of a special Research Project on Representation Theory. Most of the activities are concentrated in the autumn. The project includes the invitation of a number of foreign researchers to RIMS for a more or less extended period. The two distinguished visitors this autumn are Prof. Grigori Olshanski (Moscow) and Prof. Eric Opdam (Leiden), who are staying here for four months. The workshop was split into two parts. The first week was devoted to representation theory and featured two series of lectures by Olshanski (on combinatorial and probabilistic aspects of harmonic analysis on big, i.e. infinite-dimensional, groups) and Prof. Michael Eastwood (Adelaide, on invariant differential operators on homogeneous spaces) plus a number of other talks. During the second week the topic was integrable systems of difference and differential equations. Since I did not attend the first part of the workshop, I will restrict myself to some comments about the second part. As suggested by the topic, most of the talks were somehow concerned with systems of commuting operators. The two main speakers were Eric Opdam and Prof. Simon Ruijsenaars (Amsterdam), who each gave three or four one-hour talks. Opdam talked about trigonometric Dunkl operators and their use in the study of multivariable hypergeometric functions associated with root systems. Hypergeometric functions in one variable have been known for a very long time; the earliest indications how to generalize them to many variables came from representation theory, where they arise as zonal spherical functions on Riemannian symmetric spaces. The notion of Dunkl operator, however, is something completely new which is not all hinted at by the connection with Riemannian symmetric spaces. Dunkl wrote down his original differential-reflection operators with rational coefficients around 1989. One of their main properties is that they commute with each other. A trigonometric version of these operators was introduced by Cherednik who related them to the degenerate affine Hecke algebra. The importance of Dunkl operators for the theory of hypergeometric functions is explained by the fact that they allow one to give an elementary algebraic construction of the commuting system of hypergeometric differential operators for arbitrary values of the coupling constants. The existence of this hypergeometric system was established earlier by Heckman and Opdam using analytic methods. Over the last couple of years a whole body of theory has developed around Dunkl operators. Opdam's talk was phrased in the elegant language of arbitrary reduced root systems and Weyl groups. This was in quite some contrast with Ruijsenaars' series of lectures, which, though certainly no less interesting, was characterized by a rather down-to-earth approach to a one-variable problem, namely the study of meromorphic solutions of certain types of analytic difference equations. Ruijsenaars actually started by remarking that an analyst from the late nineteenth century would have had no problem following at least the first part of his talks. Analytic difference operators were studied by several distinguished mathematicians until less than a hundred years ago, but later they failed to attract much interest. This seems to be changing now. Due to a notable lack of general theory about solutions of analytic difference equations most results have to be proved "by hand". One striking feature is the (rather obvious) fact that the solution space is usually infinite-dimensional. By imposing certain conditions on the asymptotic behaviour of the solution one can, however, arrive at certain uniqueness results. Ruijsenaars' motivation for studying these analytic difference equations partly comes from relativistic analogues of the quantum integrable Calogero-Moser-Sutherland models for N interacting particles on the real line. The trigonometric versions of these relativistic quantum models may be regarded as a q-analogue of the hypergeometric system discussed by Opdam. As shown by Cherednik, their algebraic properties are also amenable to a Dunkl operator approach. The polynomial solutions of these systems have been studied by Macdonald and others (for reduced root systems) and Koornwinder, Van Diejen, Noumi and others in the BC_n case (in the one-variable case they reduce to well-known families of q-hypergeometric polynomials of Askey-Wilson type). These polynomials are also known to occur in connection with quantum groups. As for non-polynomial solutions of these systems, not much is known at this time. As is apparent from Ruijsenaars' talks, a lot of interesting work in this direction is still waiting to be done. In short, this was a very stimulating workshop with some very interesting mathematics. Mathijs S. Dijkhuizen Topic #14 ------------ OP-SF NET 4.6 ------------ November 15, 1997 From: Wolfram Koepf <koepf@zib.de> Subject: Review of "A = B" by Petkovsek et al. "A = B" by Marko Petkovsek, Herbert S. Wilf and Doron Zeilberger, AK Peters, Wellesley, 1996, $39.00. xii + 212 pp., ISBN 1-56881-063-6. (Editors' Note: This review is reprinted with permission from SIAM Review, Volume 39, Number 3, pages 538-540, copyright 1997 by the Society for Industrial and Applied Mathematics. It appeared in our printed Newsletter, vol 8, no 1, October 1997, pages 11-13.) In their recent research, the authors of the book under review have given important contributions towards computer proofs of hypergeometric identities. Hypergeometric identities are identites about hypergeometric sums, i.e., definite sums S_n:=sum_{k in Z} F(n,k) (1) where the summand is a hypergeometric term with respect to both n and k, i.e., the term ratios F(n+1,k)/F(n,k) and F(n,k+1)/F(n,k) are rational functions in n and k. In the book under review, this knowledge is collected, and a nice introduction to the topic is given. The main idea behind these computerized proofs is to detect a _holonomic_recurrence_equation_ for the sum S_n under consideration, i.e., a linear recurrence equation with polynomial coefficients. Zeilberger was the one having the idea how to adjust Gosper's algorithm on indefinite hypergeometric summation to the definite case. Although many of these ideas can be generalized, e.g., towards the consideration of multiple sums, integrals, q-sums, the generation of differential rather than recurrence equations, etc., the authors are mainly concerned with the above mentioned setting. The contents of the book follow: Foreword: The foreword is written by Donald Knuth. He gives some examples of sums which he was investigating, and for which the new methods are great tools. The funny thing is that his main example, S_n = sum_{k in Z} {2n-2k choose n-k}^2 {2n choose k}^2 is slightly corrupted by a typographical error. This one has a recurrence equation whose printout covers a whole page, which shows the power and the pitfalls of Zeilberger's method at the same time! The sum Knuth really meant is the much more well-behaved equation S_n = sum_{k in Z} {2n-2k choose n-k}^2 {2k choose k}^2 which satisfies the simple recurrence equation 0 = (n + 2)^3 S_{n+2} - 8(3 + 2n)(2n^2 + 6n + 5)S_{n+1} + 256(n+1)^3 S_n. Note that an errata sheet can be found at the URL http://www.cis.upenn.edu/\verb+~+wilf/AeqBErrata.html. A Quick Start...: Here, by a short example, it is shown how to download software in Maple and Mathematica from the World Wide Web, and how to deal with this software. I Background 1. Proof machines: Canonical and normal forms are discussed, and it is shown how proofs can be given ``by examples,'' using recurrence equations as normal forms. Polynomial, trigonometric, and other types of identities are discussed. 2. Tightening the target: Here the main topic of the book, the _hypergeometric_identities_, are introduced. It is shown how Mathematica and Maple deal with hypergeometric sums, and WZ proof certificates (see Chapter 7) are introduced. 3. The hypergeometric database: A database of hypergeometric identities can be used to identify sums as soon as such sums are converted into hypergeometric notation. Here this conversion is considered. II The five basic algorithms 4. Sister Celine's method: Celine Fasenmyer's method of finding a recurrence equation with respect to n for a sum S_n given by (1) is presented. Celine Fasenmyer uses linear algebra to detect a k-free recurrence equation with respect to both n and k for the _summand_, which afterwards is summed resulting in the recurrence equation searched for. 5. Gosper's algorithm: Gosper's algorithm finds a hypergeometric term antidifference s_k for a_k, i.e., s_{k+1}-s_k=a_k, whenever such an antidifference exists. As a result, indefinite summation of hypergeometric terms can be treated algorithmically. 6. Zeilberger's algorithm: Zeilberger's algorithm uses a variant of Gosper's algorithm to determine holonomic recurrence equations for definite sums, given by (1). In most cases this recurrence equation is of lowest order. If it is of first order, then one can read off the hypergeometric term solution; if it is not, Petkovsek's algorithm, described in Chapter 8, can be used to determine such solutions if applicable. Note that Zeilberger's algorithm in general is much faster than Celine Fasenmyer's method since its linear algebra part deals with mainly J+1 rather than with (J+1)^2 variables if J denotes the order of the recurrence equation searched for. 7. The WZ phenomenon: In the cases in which Zeilberger's algorithm determines a first order recurrence equation, the WZ phenomenon occurs: such a hypergeometric identity can be proved by bringing it into the form S_n:=sum_{k in Z} F(n,k) = 1 (2) and by using Gosper's algorithm to find a rational multiple G(n,k) = R(n,k) F(n,k) of F(n,k) for which F(n+1,k)-F(n,k) = G(n,k+1)-G(n,k). (3) Hence by summation, S_{n+1}-S_n = 0, proving (2) (modulo one initial value). The rational function R(n,k) is called the _WZ_proof_certificate_. Its knowledge makes a proof of (2) available by verifying a single rational identity. 8. Algorithm Hyper: Petkovsek's algorithm is a decision procedure to determine all hypergeometric term solutions of a given holonomic recurrence equation. It uses a representation lemma for rational functions initially due to Gosper, the _Gosper-Petkovsek_representation_, in a clever way. III Epilogue 9. An operator algebra viewpoint: The main theme of the book are holonomic recurrence equations. Using the shift operator N a_n:=a_{n+1}, these can also be understood as operator equations, and one can deal with them in a non-commutative algebra where the commutator rule Nn-nN=N is valid. In the given chapter this approach is considered in more detail. In the Appendix the WWW sites and the software are discussed in more detail. All algorithms that are discussed in the book under review are accompanied by examples and a few exercises for the reader, some of which come with solutions. Furthermore, the authors give examples for the use of Mathematica and Maple to do the computations. It is assumed that the reader has access to the World Wide Web or to other file transfer services, as well as to either Maple or Mathematica since the use of implementations of the algorithms considered seems to be a must. The authors refer to Maple software available from Zeilberger's WWW site, and to Mathematica software due to Krattenthaler (hypergeometric database), Paule/Schorn (Gosper's and Zeilberger's algorithms) and Petkovsek (Petkovsek's algorithm). Implementational details are not discussed. Note that the Maple package 'sumtools' written by the reviewer [2] comes with Maple V.4 and does also contain an implementation of both Gosper's and Zeilberger's algorithms. The presentation of the book is charming, and it gives an excellent introduction to this modern topic. I would like to mention two minor inconveniences, though. First, the fact that the rational certificate of an application of Zeilberger's algorithm might contain poles with some obvious defects is not addressed. Second, I find it a little inconvenient that in some instances the authors use different notations at different places of the book. This might be influenced by the fact that the book forms essentially a collection of previously published material [1], [4], [5], [6], [7]. There is no need, e.g., for new notations for rising and falling factorials different from the ones given on pages 39 and 149, respectively, in the proof of the "Fundamental Theorem" on p. 66. In my opinion, this causes confusion. Similarly, the footnote on p. 157 about the rising factorial notation is unnecessary since this definition is given on p. 39. Even worse, the mentioned footnote contains a _wrong_ notation. The authors mention the continuous analogues of the algorithms presented without giving the details. A forthcoming book by the reviewer [3] emphasizing the use of Maple for orthogonal polynomials and special functions will cover these topics. One of the highlights of the presentation is the consideration of finite sums of hypergeometric terms. The authors show how Gosper's algorithm can be extended to this case. This previously unnoticed fact is rather important since summation is a linear operation, but Gosper's original algorithm is not. REFERENCES [1] Gessel, I.M.: Finding identities with the WZ method. J. Symbolic Computation 20, 1995, 537--566. [2] Koepf, Wolfram: Summation in Maple. Maple Technical Newsletter 3 (2), 1996, 26--32. [3] Koepf, Wolfram: Hypergeometric Summation. An Algorithmic Approach to Hypergeometric Summation and Special Function Identities. Vieweg, Braunschweig/Wiesbaden, 1997, to appear. [4] Petkovsek, M.: Hypergeometric solutions of linear recurrences with polynomial coefficients. J. Symbolic Comp. 14, 1992, 243--264. [5] Wilf, H.S.: Identities and their computer proofs. "SPICE" Lecture Notes, 31 August - 2 September 1993. Previously available by anonymous ftp from ftp.cis.upenn.edu . [6] Zeilberger, D.: A fast algorithm for proving terminating hypergeometric identities. Discrete Math. 80, 1990, 207--211. [7] Zeilberger, D.: Three recitations on holonomic systems and hypergeometric series. J. Symbolic Computation 20, 1995, 699--724. Wolfram Koepf Topic #15 ------------ OP-SF NET 4.6 ------------ November 15, 1997 From: Axel Riese <ariese@risc.uni-linz.ac.at> Subject: q-Zeilberger algorithm in Mathematica updated Dear q-experts ! I would like to inform you that a new version (1.8) of my Mathematica implementation of the q-Zeilberger algorithm is available. Besides several new features, the program is now MUCH faster than previous versions. For instance, the rhs of identity (III.25) in the "Basic Hypergeometric Series" book by G.Gasper and M.Rahman, a _{12} \phi _{11} series leading to a recurrence of order 3, can be solved now in less than 1 minute on a Pentium 100. The package is accompanied by a Mathematica 3.0 notebook consisting of about 500 examples. I you are interested in obtaining the update, please let me know whether you prefer receiving - the file qZeil.tar.gz.uue (provided that you have tar, gzip and uudecode) or - seven separate ASCII-files by email. Axel Riese Topic #16 ------------ OP-SF NET 4.6 ------------ November 15, 1997 From: OP-SF NET Editor <thk@wins.uva.nl> Subject: PhD project on History of Orthogonal Polynomials I found the following announcement of a PhD project at URL's http://www.math.rug.nl/vac/vacancies.html and http://www.math.rug.nl/vac/maanen.html At this moment 7 PhD and 1 Bursary positions are available at the Research Institute of Mathematics and Computing Science (IWI) of the University of Groningen (Netherlands). Positions could be obtained in several specified research areas, one of which is the following: `The history of orthogonal polynomials' Project leaders: Aad Dijksma and Jan van Maanen (contact person, e-mail J.A.van.Maanen@math.rug.nl ) The aim of the project is to investigate various aspects of the historical development of orthogonal polynomials (OP). The following aspects will be taken into account: chronology the chronology starts at about 1750, with the competitive work of Laplace and Legendre as a first major event biography already the fact that most of the special functions bear the names of mathematicians suggests the relevance of the biographical aspect. Competition and collaboration will be topics to focus at. applications the origin of several of these functions is closely linked to applications, ranging from probablity theory to potential theory. changing roles from functions with interesting properties with respect to integration the orthogonal functions became elements in an vectorspace with inner product. This also changed the way in which mathematicians could `play' with them. The objective is to write a `Microstoria'. The Microstoria-method takes a restricted and clearly recognizable subject as a starting point and uses it as a kernel for writing more general history. The timespan of the subject (1750-1950), the involvement of several major mathematicians, the regular use of OP in applied situations, the tendency to unify the theory of OP and to cover the individual polynomials under a common heading, the handbook tradition, are themes which, in combination with eachother, will lead to a fresh description of the history of modern mathematics. Up to now there have been partial studies in this field (e.g. by Szego (1958), Askey (1988), and Meijer(1996)), but an overview is lacking. To produce such an overview, which at the same time will be a `Microstoria' about mathematics in general, is the central aim of the project. Topic #17 ------------ OP-SF NET 4.6 ------------ November 15, 1997 From: Doron Zeilberger Subject: Don't Stop the Problems Dear SIAM Officers, Below is the lastest opinion in the Opinion column of my website. I hope that you will reconsider getting rid of your problems. Opinion #19 of Doron Zeilberger SIAM Review Should Not Cancel its Problem Section Written: Oct. 23, 1997 Cecil Rousseau, the problem editor of SIAM Review, has just told me that SIAM Review's problem section's days are numbered. I was shocked, but not surprised. I have already had a premonition of that, a few months ago, when I read in SIAM News that SIAM Review is about to get a 'face lift' and a 'new image'. I am always wary of such proposed improvements that contribute to the contemporary trend to sacrifice content in favor of fluff and 'image'. It is regrettable that even scientists, and mathematicians to boot, have caught the image-obsession that has turned politicians into puppets in the hands of sleazy PR-professionals. The most interesting parts of the American Mathematical Monthly and SIAM Review are their problem sections. Nobody reads the articles, but many readers go straight to the problem section. Almost as interesting as the problems are the solutions. One of my favorite books is Klamkin's collection of problems from SIAM Reviews. Even from the snobbish, prestige-hungry, point of view of the SIAM administration, there is justification for the problem section. For example, Mehta's famous integral (that turned out to follow from Selberg's once-dormant 1944 paper), made its first appearance as a problem in SIAM Review. Similar things can be said about Monthly problems, for example, Erdos's problem from 1946 that started Euclidean Ramsey theory, and the famous Busseman-Petit conjecture that was first raised as a Monthly problem. But, most importantly, Problem sections turned many young people into mathematicians. It was the late Joe Gillis's 'Gilyonot leMatematika' (and that hopefully still exists today), and especially its problem section, that made me, and many of my friends in Israel, into mathematicians. I also feel a personal loss. My first 'publication', in 1970, when I was an undergrad, was a solved problem in SIAM Review. Both the problem and my solution were real gems. I'll forget my right hand before I'll forget it. Let G be a finite group with n elements, and let S be any subset. Prove that S^n is a subgroup. My solution went as follows. When |S|=1 it is trivial. Otherwise, by pigeon-hole, there must be an i such that |S^(i)|=|S^(i+1)|, hence S^(i+1)=aS^i, for some a in G, and hence S^n=a^(n-i)S^i, S^(2n)=a^(2n-i)S^i=a^n S^n=S^n, hence (S^n)^2=S^n and S^n is a subgroup. I was so proud and delighted when I first solved it, and was really ecstatic when Murray Klamkin decided to publish my solution. I am sure that many had a similar experience. In conclusion, let me quote Herb Wilf, who in a recent bio in the Monthly wrote (AMM 104 no. 6 (June-July 1997), p. 588): 'Herbert Wilf has been editor of this Monthly, and remembers well how the 'Problems and Solutions' tail often wagged the Monthly dog'. The same is true of SIAM Review, and it is a very stupid dog-owner that chops his dog's tail, especially one that wags so well. Doron Zeilberger Topic #18 ------------ OP-SF NET 4.6 ------------ November 15, 1997 From: OP-SF Editors <tkh@wins.uva.nl> <muldoon@yorku.ca> Subject: Further comments on SIAM Review Problem Section Doron Zeilberger's Web Site provides further comments on his opinion (Topic #16) concerning the SIAM Review Problem Section. The following is taken from the URL: http://www.math.temple.edu/~zeilberg/res19 . Richard Askey <askey@math.wisc.edu>: Let me second Doron Zeilberger's comments about the Problem Section in SIAM Review. He is wrong about Mehta's problem first appearing in SIAM Review's Problem Section, since it had appeared in a joint paper with Freeman Dyson. However, no one could solve it and it was completely missed by mathematicians in their paper in J. Math. Physics, so it was important to have it appear in SIAM Review to bring it to the attention of mathematicians who might have been able to solve it. Eventually, a direct evaluation of this integral was found which did not have to go to the more general integral of Selberg. The argument used to evaluate this integral directly was also used to evaluate some finite sums of real interest and the argument found by Selberg and a later argument of Aomoto, which appeared in SIAM J Math Anal do not work in the finite character sum case. Cecil Rousseau had sent me Mehta's problem to referee for SIAM Review, and I spent a fair amount of time trying to solve it. If I had not, it is not clear that I would have appreciated Selberg's integral as I did, and found some conjectured extensions of it. These were published in SIAM Jour. Math. Anal., and eventually proven. Thus a problem in a problem section can be useful even if no one is able to solve it because of its publication in a problem section. Doron's point about young people being attracted to a subject by problems they can work on is important. It might be useful for SIAM to set up a student problem section. I hope that the problems were not dropped because they do not correspond to the type of problem which the officers think arises in applied mathematics, for I can assure them that many of the problems involving special functions which have appeared in SIAM Review are similar to those that are sent to me by mathematicians and others who come across them in their applied work. Just today, someone was here to talk about inverse problems, and Lommel polynomials arose in a very natural way. Their orthogonality relation may be important in trying to solve the original inverse problem. The orthogonality appeared in a paper in Proc. Amer. Math. Soc., but it easily could have been a problem in SIAM Review. I do not agree with all of the arguments given by Zeilberger about why this problem section was stopped, but agree with him that this is unfortunate. Jonathan Borwein <jborwein@cecm.sfu.ca>: I would like to echo Doron Zeilberger's strong support for the SIAM problem section. Pleas also remember that many more people look at and discuss these problems than submit solutions. N. J. A. Sloane <njas@research.att.com>: I completely agree with Doron. Andrew Granville <andrew@sophie.math.uga.edu>: Good; I'm glad that you are after them on this. Just because the editors now wear long trousers, it doesn't mean there aren't short trousered kids coming along who can't benefit from the fun of solving problems. Andrew Odlyzko <amo@research.att.com>: I agree completely with your opinion. Peter Paule <Peter.Paule@risc.uni-linz.ac.at>: I am writing in order to fully support Doron Zeilberger's "Opinion 19" - "SIAM Review Should Not Cancel its Problem Section". Topic #19 ------------ OP-SF NET 4.6 ------------ November 15, 1997 From: Mary Rose Mucci, Journals Publisher, SIAM <muccie@siam.org> Subject: Problems and Solutions Section SIAM would like to thank the members of the Orthogonal Polynomials and Special Functions activity group for their interest in and support of Problems and Solutions. We are happy to know that you have such a high regard for the section and would like to take this opportunity to clarify SIAM's plans for the future of Problems and Solutions. While it is true that the Problems and Solutions will no longer be included as part of SIAM Review, the section has not been eliminated. Because of its format and audience, SIAM has designated Problems and Solutions as its first electronic-only publication. Problems and Solutions will continue on the World Wide Web in 1999 and beyond. Many of you have pointed out that the Problems and Solutions are particularly useful to students and younger researchers and may help to entice young people to become mathematicians. We believe that an electronic format will appeal to these younger researchers and entice them to solve the problems and submit their solutions. We also hope that the wide readership possible with a free, web-based publication will bring the Problems and Solutions to the attention of students, researchers, and other interested parties who may not have had the opportunity to read the section in SIAM Review. The Problems and Solutions will be available freely to everyone. They will not be part of SIAM Journals Online, which cannot be accessed without a subscription. For the immediate future, we anticipate the submission and review procedures for Problems and Solutions to continue as they are now. The editor(s) will continue to take submissions of both problems and solutions, choose the best ones, and send them to SIAM. SIAM will publish the Problems and Solutions individually on the web in PDF format with an HTML table of contents listing the titles and authors. Therefore readers will be able to click on the title of the problem or solution that interests them and go right to it. We will also print the names of the problem proposers and solvers regularly in a SIAM publication. SIAM News or the Education section of SIAM Review have been suggested as appropriate places to publish them. There are many things we would like to do with the electronic Problems and Solutions section in the future, such as allowing people to submit both problems and solutions electronically via the web and linking to related material. But given SIAM's current capabilities and the existing electronic publishing system, our initial proposal is fairly straightforward. We know that we can follow the procedures outlined above with our current electronic publishing setup. As that evolves we may be able to expand and update the way the Problems and Solutions section works. The Orthogonal Polynomials and Special Functions Activity Group has been steadfast in its support of Problems and Solutions. We would be pleased if the activity group became involved in the electronic version. I encourage you to contact me directly if you have ideas for possible involvement, additional comments, or questions about what is outlined above. Thank you again for your support of Problems and Solutions. Mary Rose Muccie Journals Publisher, SIAM Topic #20 ------------ OP-SF NET 4.6 ------------ November 15, 1997 From: Bill Gosper <rwg@NEWTON.macsyma.com> Subject: Lambert-W function and OPSF Flamesite? Editor's note: Readers of OP-SF net may be interested in reading the following messages by Bill Gosper, addressed to Hans Haubold, but with cc to several others including Tom Koornwinder. > From rwg@SWEATHOUSE.macsyma.com Sun Sep 28 22:24 MET 1997 > To: haubold@Mail.Austria.EU.net Prof Haubold, Thank you for the OPSF-FTPSITE notice. Can you suggest a site or list to which I could submit for informal discussion a proposal that the so-called Lambert-W function be de-popularized in favor of the (unnamed?) function which inverts x exp(x^2) instead of x exp(x)? The name-needing function has equally nice series and asymptotics, and far nicer branch structure. Tnx again, -- Bill Gosper > From rwg@SWEATHOUSE.macsyma.com Fri Oct 3 02:08 MET 1997 > To: haubold@Mail.Austria.EU.net Dear Professors Haubold & Koornwinder, I found only one mathematical item among the five 1997 Bulletins; and the Newsletter turnaround is too slow. HJH>Thank you for your e-mail of 28 September 1997 regarding a site or list to discuss the naming of "useful functions". There are papers in the history of physics/mathematics dealing with that issue but there is no site or list on the WWW for informal discussions on that. Pity. I was hoping to hear from someone that, e.g., "Joe Blowinder studied the inversion of x*exp(x^2) in 1869", so we could name it Blowinder's function. But naming it is only half the problem. The special functions world is beginning to embrace what seems to me a much inferior alternative-- the so-called Lambert W function, and I want to offer, side by side, their respective series, asymptotics, integrals, derivatives, and, most of all, symmetries (or lack thereof). It's sort of like trying to avert the headaches caused by initially defining Bernoulli numbers to have all positive signs, and no intervening zeros. Another use for electronically quick turnaround is for tidbits and questions of the form "Hey, is this new?". E.g., > Date: Wed, 1 Oct 1997 18:01 EDT > From: rwg@SWEATHOUSE.macsyma.com [Attn: Eric Weisstein] At least for integer h, you can expand ==== (j + h)! \ k - 1 -------- = > Stirling_s1(h + 1, k) j j! / ==== k>=0 which, if you divide by h!, expands the binomial coefficient, and can be regarded as a definition of Stirling (cycle) numbers for noninteger h. But then we lose termination and run into convergence problems, and seek an asymptotic expansion. In Eric's trove (http://www.astro.virginia.edu/~eww6n/math/), under Gamma Function, applications of Stirling's expansion, he derives Gamma(j+1/2)/Gamma(j) ~ sqrt(j) (1 - 1/(24 j^2) + 1/(48 j^3) + ...). It appears that ==== (j + h)! \ Stirling_s1(h + 1, - k + h + 1) (*) -------- = > -------------------------------, j! / k - h ==== j k>=0 or, for you troglodyte Gammaphiles, inf ==== Gamma(j + h) \ Stirling_s1(h, h - k) ------------ = > --------------------- = Gamma(j) / k - h ==== j k = 0 h (h - 1) h (h - 2) (3 h - 1) (h - 1) h j (1 + --------- + --------------------------- 2 j 2 24 j 2 2 (h - 3) (h - 2) (h - 1) h + --------------------------- 3 48 j 3 2 (h - 4) (15 h - 30 h + 5 h + 2) (h - 3) (h - 2) (h - 1) h + ----------------------------------------------------------- 4 5760 j 2 2 2 (h - 5) (3 h - 7 h - 2) (h - 4) (h - 3) (h - 2) (h - 1) h + ------------------------------------------------------------ 5 11520 j + . . .), (which requires no noninteger Stirling theology). For h=1/2, this gives 1 Gamma(j + -) 2 ------------ = sqrt(j) Gamma(j) 1 1 5 21 399 (1 - --- + ------ + ------- - -------- - --------- + . . . ), 8 j 2 3 4 5 128 j 1024 j 32768 j 262144 j so we disagree. Does anyone remember seeing (*) before? It looks pretty useful, but I can't find it in G, Knuth, & P. We might regard Gamma(j+h)/Gamma(j) as the generating function for the "unreduced Stirling polynomials". --------- My guess is that a place for such things is already growing in the vast unruliness of the Web. But thanks for your suggestions. --Bill Gosper Topic #21 ------------ OP-SF NET 4.6 ------------ November 15, 1997 From: A. Bogardo <bogardo@siam.org> Subject: SIAM Student Paper Prizes SIAM Student Paper Prizes The annual SIAM Student Paper Prizes will be awarded during the 1998 SIAM Annual Meeting, July 13-17, at the University of Toronto. If you are a student or know of a student who would like to take part in the competition, here are the details: The authors of the three best papers in applied and computational mathematics written by students and submitted to SIAM will present their papers at the meeting and will receive a $750 cash prize as well as gratis registration for the meeting. The winners will be awarded calligraphed certificates at a special prize ceremony at the meeting. Papers must be singly authored and not previously published or submitted for publication to be eligible for consideration. To qualify, authors must be students in good standing who have not received their PhDs at the time of submission. In submitting their work for publication, authors are asked to consider SIAM journals. However, student paper prize winners are not guaranteed publication in any SIAM journal; all papers submitted to SIAM journals are subject to the same refereeing process and standards. Submissions must be received in the SIAM office on or before March 15, 1998. Submissions, which must be in English, can be sent by regular mail or fax. Each submission must include (1) an extended abstract NOT LONGER THAN 5 PAGES (including bibliography); (2) the complete paper, which will be used solely for clarification of any questions; (3) a statement by the student's faculty advisor that the paper has been prepared by the author indicated and that the author is a student in good standing; (4) a letter by the student's faculty advisor describing and evaluating the paper's contribution; and (5) a short biography of the student. Submissions will be judged on originality, significance, and quality of exposition. The winners will be notified by June 1, 1998. Please direct your submission and any questions you may have to A. Bogardo at SIAM, 3600 University City Science Center, Philadelphia, PA 19104-2688;telephone (215) 382-9800; e-mail to bogardo@siam.org; fax to (215) 386-7999. Topic #22 ------------ OP-SF NET 4.6 ------------ November 15, 1997 From: A. Bogardo <bogardo@siam.org> Subject: SIAM Student Travel Awards SIAM Student Travel Awards SIAM Conferences and Annual Meeting During 1998, SIAM will make a number of awards for $300 to support student travel to each of the following SIAM conferences: Ninth Annual ACM-SIAM Symposium on Discrete Algorithms January 25-27, San Francisco, CA Fourth SIAM Conference on Control and Its Applications May 7-9, Jacksonville, FL Fourth International Conference on Mathematical and Numerical Aspects of Wave Propagation June 1-5, Golden, CO Ninth SIAM Conference on Discrete Mathematics July 12-15, Toronto, CANADA SIAM Annual Meeting July 13-17, Toronto, CANADA Industrial Workshop on Computer-Aided Design and Manufacturing October 22-23, Troy, MI The awards are to be made from the SIAM Student Travel Fund, created in 1991 and maintained through book royalties donated by generous SIAM authors. Any full-time student in good standing is eligible to receive an award plus gratis meeting registration. Top priority will be given to students presenting papers at the meeting, with second priority to students who are co-authors of papers to be presented at the meetings. Only students traveling more than 100 miles to the meetings are eligible for the awards. An application for a travel award must include: (1) A letter from the student describing his/her academic standing and interests, his/her expected graduation date and degree, advisor's name, and, if available, a URL for a working Web page. (2) A one-page vita that includes the student's research interests, projects, and papers published. (3) A detailed letter from the student's faculty advisor indicating why the student is deserving of receiving a travel award and any special circumstances. (4) If applicable, the title(s) of the paper(s) to be presented (co-authored) by the student at the meeting. Applications should be sent to the SIAM office (Attention: SIAM Student Travel Awards), 3600 University City Science Center, Philadelphia, PA 19104-2688. Students also may apply by e-mail to bogardo@siam.org or by fax to 215-386-7999. Complete applications must be received at the SIAM office no later than TWO MONTHS before the first day of the meeting for which support is requested. Winners will be notified FIVE WEEKS before the first day of the meeting. Checks for the awards will be given to the winning students when they arrive at the given meeting and check in at the SIAM Registration Desk. Topic #23 ------------ OP-SF NET 4.6 ------------ November 15, 1997 From: A. Bogardo <bogardo@siam.org> Subject: W. T. and Idalia Reid Prize CALL FOR NOMINATIONS for W.T. and IDALIA REID PRIZE The Reid Prize -------------- SIAM will present the W.T. and Idalia Reid Prize at the 1998 SIAM Annual Meeting in Toronto, Canada, July 13-17. The award will be given for research in, or other contributions to, the broadly defined areas of differential equations and control theory. The prize may be given either for a single notable achievement or for a collection of such achievements. Eligibility ----------- The prize is awarded to any member of the scientific community who meets the general guidelines of the prize description above. Description of Award -------------------- The award consists of an engraved medal and a $10,000 cash prize. Nominations ----------- A letter of nomination, including a description of achievement(s) should be sent by February 1, 1998 to: Professor John A. Burns Chair, Reid Prize Selection Committee c/o Allison Bogardo SIAM 3600 University City Science Center Philadelphia, PA 19104-2688 Telephone: (215) 382-9800 Fax: (215) 386-7999 E-mail: bogardo@siam.org Topic #24 ------------ OP-SF NET 4.6 ------------ November 15, 1997 From: Hans Haubold <haubold@Mail.Austria.EU.net> and OP-SF NET editor <thk@wins.uva.nl> Subject: preprint archive for papers in Orthogonal Polynomials and Special Functions Hans Haubold's ftp archive for preprints in the area of Orthogonal Polynomials and Special functions is the continuation of Waleed Al-Salam's preprint archive. It can be approached via a home page: ftp://unvie6.un.or.at/siam/opsf_new/00index.html This home page links to pages - Index by Author (with links to the actual manuscript files) - Abstracts listed by Author(s) (mostly with abstracts of papers for which the full manuscript file resides elsewhere; hyperlinks are provided) - Submission form You can also move from the home page to the ftp interface and to the the submissions directory, where the most recent contributions reside. Of course, you can also download or upload by anonymous ftp. Connect with: unvie6.un.or.at, directory siam. Submission of manuscripts: You are invited to submit one or more of your not-yet-in-print manuscripts which you wish to make available to the OPSF Activity Group. They should be prepared in TeX, LaTeX, AMSTeX, AMSLaTeX, or PS format. Suggestion A: 1. Please complete the ftp://unvie6.un.or.at/siam/opsf_new/00submit_new.html submission form 2. Log into the anonymous ftp site "unvie6.un.or.at" 3. Upload your file(s) into the directory ftp://unvie6.un.or.at/siam/submissions 4. Eventually your file(s) will be transferred to the directory "siam/opsf_new" in due time. Suggestion B: 1. Please complete the ftp://unvie6.un.or.at/siam/opsf_new/00submit_new.html submission form 2. Send your file(s) by e-mail to haubold@ekpvs2.dnet.tuwien.ac.at 3. Your file(s) will be transferred to the directory "siam/submissions" 4. Eventually your file(s) will be transferred to the directory "siam/opsf_new" in due time. There are two new features in connection with submitting manuscripts to the ftp site: - If you submit a file with a full manuscript, it is recommended (though not obligatory) to also supply an abstract file (plain ASCII text, no TeX). - It is also possible to submit only an abstract file together with a hyperlink to the actual full manuscript. In this case, please supply the hyperlink in the "Comments" Text-Area, when filling out the submission form. Recent submissions: G. Bangerezako, Discrete Darboux transformation for discrete polynomials of hypergeometric type (ftp://unvie6.un.or.at/siam/opsf_new/bangerezako.ps) I. V. Krasovsky, Asymptotic distance between zeros of orthogonal polynomials satisfying second-order differential equations (ftp://unvie6.un.or.at/siam/abstracts_new/krasovsky.abstract.html) W. Lang, On sums of powers of zeros of polynomials (ftp://unvie6.un.or.at/siam/submissions/lang.tex) Topic #25 ------------ OP-SF NET 4.6 ------------ November 15, 1997 From: OP-SF NET Editors <thk@wins.uva.nl>, <muldoon@yorku.ca> Subject: Changes of Address, WWW Pages, etc. As of September 1, 1997, Wolfram Koepf was appointed Professor of Applied Mathematics at the Hochschule fur Technik, Wirtschaft und Kultur Leipzig, Germany, Department of Computer Science, Mathematics and Natural Sciences (Informatik, Mathematik und Naturwissenschaften). His new address there is: Prof. Dr. Wolfram Koepf Fachbereich IMN HTWK Leipzig Gustav-Freytag-Str. 42 A D-04277 Leipzig phone: +49-341-307 64 95 fax: +49-341-301 27 22 e-mail: koepf@imn.htwk-leipzig.de WWW: http://www.imn.htwk-leipzig.de/~koepf For a few months, however, he will be still affiliated with Konrad-Zuse-Zentrum so his old e-mail address and home page will still be valid. Semyon Yakubovich will be returning to Minsk (from Leuven) at the end of 1997. His address there will be: Dr. S.B.Yakubovich P.O.Box 385 Minsk-50 220050 Belarus Here are some recent additions to our list of home pages: Maple package for symmetric functions (John Stembridge) at URL: http://www.math.lsa.umich.edu/~jrs/maple.html NAVIMA: Namur-Vigo-Madrid, Group on Connection and Linearization Problems has a URL: http://www.uvigo.es/departamentos/dep/t10/navima/ SCAGOP: Spanish Computer Algebra Group on Orthogonal Polynomials has moved to URL: http://dulcinea.uc3m.es/users/scagop/scagop.html Roelof Koekoek at Technical University Delft has a home page: http://aw.twi.tudelft.nl/~koekoek/ Willard Miller, Director of Institute for Mathematics and its Applications, University of Minnesota has a home page: http://www.ima.umn.edu/~miller/ Margit Roesler has a home page at: http://pckoenig2.mathematik.tu-muenchen.de/~roesler/ Vadim Zelenkov <zelenkov@gray.isir.minsk.by> thanks all those who have sent their abstracts, papers, links, etc. in connection with the Krawtchouk Polynomials Home Page (OP-SF NET 4.5, Topic #14). The first draft is on the Web at the URL: http://www.isir.minsk.by/~zelenkov/physmath/kr_polyn All proposals, additions, corrections will be appreciated. Topic #26 ------------ OP-SF NET 4.6 ------------ November 15, 1997 -From: OP-SF NET Editor <thk@wins.uva.nl> -Subject: Alternative way to subscribe to OP-SF NET -From now on there will be two ways to subscribe to OP-SF NET: 1. Send a message to poly-request@siam.org with your name and email address in the body of the message. If everything works well, you will be put on the mailing list of OP-SF NET which is maintained by SIAM. 2. Send a message to majordomo@wins.uva.nl and put in the body of the message as only words: subscribe opsfnet This is handled by an automatic list server. You will receive a confirmation, with a list of further commands. You will be put on the opsfnet mailing list of this list server. A new issue of OP-SF NET will be mailed to people on this list immediately after the mailing by SIAM to the people on the list maintained by SIAM. Topic #27 ------------ OP-SF NET 4.6 ------------ November 15, 1997 From: OP-SF NET Editor <thk@wins.uva.nl> Subject: Starting a new listserv for discussions on OP & SF The listserv discussed in OP-SF NET 4.4, Topic #8, will start on Monday, November 24. Quoting from OP-SF NET 4.4, Topic #8: "It has been suggested that an OPSF listserv should be started. Such a listserv could be useful in promoting discussion and posing questions in the general areas of orthogonal polynomials and special functions. A selection of contributions could be included in OP-SF NET. It has been suggested that we might create an automatic way to subscribe and unsubscribe to the listserv and OP-SF NET. To make it workable, the listserv would probably have to be "unmoderated" which means that the Group would have no control over what might appear there. Some have observed that this could lead to abuse. In any case, such a listserv need not have any official connection to our Activity Group, though it could be publicized in the Group's media." A listserv as described above will be started now. It will be maintained by Tom Koornwinder. It will be unmoderated. However, in case of (repeated) abuse, it will be transformed into a moderated listserv. Starting November 24, you can act as follows. For subscribing, send a message to majordomo@wins.uva.nl and put in the body of the message as only words: subscribe opsftalk You can post messages by sending mail to opsftalk@wins.uva.nl Your message will then be automatically forwarded to everybody on the opsftalk list. Topic #28 ------------ OP-SF NET 4.6 ------------ November 15, 1997 From: OP-SF NET Editors <thk@wins.uva.nl>, <muldoon@yorku.ca> Subject: Obtaining back issues of OP-SF NET and submitting contributions to OP-SF NET and Newsletter Back issues of OP-SF NET can be obtained from ftp: ftp.wins.uva.nl, in directory pub/mathematics/reports/Analysis/koornwinder/opsfnet.dir or WWW: http://turing.wins.uva.nl/~thk/opsfnet/ or WWW: http://www.math.ohio-state.edu/JAT/DATA/OPSFNET/opsfnet.html Contributions to the OP-SF NET 5.1 should reach the email address poly@siam.org before January 1, 1998. The Activity Group also sponsors a (printed) Newsletter edited by Wolfram Koepf. Deadline for submissions to be included in the February 1998 issue is January 15, 1998. Please send your Newsletter contributions directly to the Editor: Wolfram Koepf Fachbereich IMN HTWK Leipzig Gustav-Freytag-Str. 42 A D-04277 Leipzig phone: +49-341-307 64 95 fax: +49-341-301 27 22 e-mail: koepf@imn.htwk-leipzig.de koepf@zib.de preferably by email, and in latex format. Other formats are also acceptable and can be submitted by email, regular mail or fax. Please note that submissions to the Newsletter (if not containing mathematics symbols or pictures) are automatically considered for publication in OP-SF NET, and vice versa, unless the writer requests otherwise. Previous issues of the Newsletter, but not the most recent one, can be obtained as dvi or PostScript files from Wolfram Koepf's WWW homepage: http://www.zib.de/koepf/ or by anonymous ftp at ftp.zib.de in directory pub/UserHome/Koepf/SIAM In order to join the SIAM Activity Group on Orthogonal Polynomials and Special Functions, and thereby receive the Newsletter, you have to become a member of SIAM. The annual dues are $93 for SIAM plus $10 for the Group. Student memberships are $20 a year with free membership in one Activity Group. Postgraduates can join for $45 a year (for three years). Contact the email address join@siam.org o - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - o - OP-SF NET is a forum of the SIAM Activity Group on - - Special Functions and Orthogonal Polynomials. - - We disseminate your contributions on anything of interest to the - - special functions and orthogonal polynomials community. This - - includes announcements of conferences, forthcoming books, new - - software, electronic archives, research questions, job openings. - o - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - o - Send submissions to: poly@siam.org - - Send address changes to: poly-request@siam.org - - Get back issues from WWW: http://turing.wins.uva.nl/~thk/opsfnet/ - - WWW home page of this Activity Group: - - http://www.math.yorku.ca/Who/Faculty/Muldoon/siamopsf/ - - Information on joining SIAM - - and this activity group: service@siam.org - o - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - o - The elected Officers of the Activity Group are: - - Charles Dunkl, Chair - - Tom H. Koornwinder, Vice Chair and OP-SF NET editor - - Nico M. Temme, Secretary - - Willard Miller, Jr., Program Director - - The appointed officers are: - - Wolfram Koepf, Newsletter editor - - Martin Muldoon, Webmaster and OP-SF NET editor - o - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - o

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