**Subject**:**Volume 4, Number 2****From**:**"Ken Tice" <kst@ebrock.cam.nist.gov>**- Date: Thu, 25 Mar 1999 15:10:20 -0500
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o - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - o - - - March 15, 1997 - - O P - S F N E T Volume 4, Number 2 - - ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ - - 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 Today's Topics: 1. Minisymposium on "Handbooks for Special Functions and the World Wide Web" 2. University of Wisconsin Centenary Conference, including minisymposium on special functions 3. VIII International Conference on Symmetry Methods in Physics, Dubna, Russia 4. Symposium on orthogonal polynomials in Sevilla 5. Report from Madras Workshop on Special Functions & Differential Equations 6. Bourbaki Lecture on Dunkl operators 7. Death of Louis Auslander 8. Reprinting of Olver's "Asymptotics and Special Functions" 9. Proceedings of 1995 Toronto Workshop on "Special Functions, q-Series and Related Topics" 10. The Ramanujan Journal 11. End of Problem Section in SIAM Review? 12. Compiled Booklist and list of Electronic Services (Wolfram Koepf) 13. ftp site for papers in Orthogonal Polynomials and Special Functions 14. Changes of Address, WWW Pages, etc. 15. Obtaining back issues of OP-SF Net and submitting contributions to OP-SF Net and Newsletter Calendar of events: see issue/topic: 1997 March 17 - May 30: MSRI program on Symmetric functions and representation theory 3.3 #5 May 22-24: Centenary Conference, including minisymposium on special functions in Madison, Wisconsin 3.4 #5 and 4.2 #2 June 3-7: First ISAAC Conference (International Society for Analysis, its Applications and Computation) in Newark, Delaware 4.1 #2 June 9-20: CRM Workshop on Algebraic Combinatorics, Montreal 3.5 #4 June 24-28: Continued Fractions and Geometric Function Theory, Trondheim, Norway 3.2 #8 July 14-18: SIAM 45th Anniversary Meeting, Stanford, California including Minisymposium on "Handbooks for Special Functions and the World Wide Web" 4.2 #1 July 14-18: 9th International Conference on Formal Power Series and Algebraic Combinatorics, Vienna, Austria 3.4 #7 July 28 - August 2: VIII International Conference on Symmetry Methods in Physics, Dubna, Russia 4.2 #3 September 22-26: VIII Simposium sobre Polinomios Ortogonales y Aplicaciones, Seville, Spain 3.5 #5 and 4.2 #4 Topic #1 -------------- OP-SF NET 4.2 ------------- March 15,1997 From: Willard Miller, Jr. <miller@ima.umn.edu> Subject: Minisymposium on "Handbooks for Special Functions and the World Wide Web" The minisymposium will be held at the July 14-18 1997 SIAM Annual Meeting in Stanford as an initiative of the SIAM Activity Group on Orthogonal Polynomials and Special Functions. Dick Askey and Willard Miller are co-organizers. The principal handbooks on special functions, the "Bateman Project" and the NIST "Handbook of Mathematical Functions" are among the most useful, widely consulted technical volumes ever published, but they are now out of date, due to rapid research progress and to revolutionary changes in technology. The Minisymposium will feature talks by representatives of the groups that are proposing to update the Bateman Project and Abramowitz & Stegun, respectively, and talks with critiques of those CD-Rom and WWW handbook projects that are already available. The Minisymposium will conclude with a general discussion concerning the appropriate format and structure for handbook projects, and funding possibilities. Confirmed talks to date are the following: Speaker: Daniel W. Lozier Mathematical and Computational Sciences Division National Institute of Standards and Technology Gaithersburg, MD 20899 Title: Toward a Revised NBS Handbook of Mathematical Functions Abstract: A modernized and updated revision of Abramowitz and Stegun, Handbook of Mathematical Functions, first published in 1964 by the National Bureau of Standards, is being planned for publication on the World Wide Web. The authoritative status of the original will be preserved by enlisting the aid of qualified mathematicians and scientists. The practical emphasis on formulas, graphs, and numerical evaluation will be extended by providing an interactive capability to permit generation of tables and graphs on demand. --------------------- Speaker: Mourad E. H. Ismail Department of Mathematics University of South Florida Tampa, Florida, 33620 Title: The Askey-Bateman Project Abstract: We hope to update the Bateman Project to reflect the developments in the subject over the last fifty years and cover topics of importance that were not covered in the initial project. A presentation will be made as to the current state of this project, the need for it, and a sketch of the contents and the personnel to be involved. Suggestions, recommendations, criticisms and any useful input will be welcome and greatly appreciated. --------------------- Speaker: Richard Askey Department of Mathematics University of Wisconsin 480 Lincoln Drive Madison, WI 53706 Title: Handbooks of special functions through the decades Abstract: Handbooks of special functions have been some of the most widely used mathematics books. Features of some of the better ones will be described and some uses will be illustrated. Further information on the SIAM meeting may be found at the URL: http://www.siam.org/meetings/an97/an97home.htm or by email from meetings@siam.org Topic #2 -------------- OP-SF NET 4.2 ------------- March 15,1997 From: Charles Dunkl <cfd5z@virginia.edu> Subject: University of Wisconsin Centenary Conference, including minisymposium on special functions Here is the most up-to-date list of speakers and titles for the minisymposium on special functions to be held during the University of Wisconsin Centenary Conference to be held in Madison, Wisconsin, May 22-24, 1997. (See OP-SF NET 3.4 #5). I do not have a time schedule, but there will be two sessions as indicated. The speakers have all accepted. Session 1 Gilbert G. Walter, University of Wisconsin-Milwaukee, "Wavelets and special functions" Steve Milne, Ohio State University, "Sums of squares, Jacobi elliptic functions and continued fractions, and Schur functions" Paul Nevai, Ohio State University, "Orthogonal polynomials on an arc of the unit circle" Alan Schwartz, University of Missouri-St. Louis , "Multivariate orthogonal polynomials, measure algebras, and differential operators" Charles F. Dunkl, University of Virginia, "Generalized Hermite polynomials and root systems" Session 2 George Gasper, Northwestern University, "q-Analogues of Erdelyi's fractional integrals and applications" Paul Terwilliger, University of Wisconsin-Madison, "Leonard Systems and the q-Racah polynomials" Anatol N. Kirillov, CRM , Universite de Montreal, "Quantum Schur functions and quantum Schubert polynomials" Mourad Ismail, University of South Florida, "Toda lattice and orthogonal polynomials" Dennis Stanton, University of Minnesota, "Applications of cubic hypergeometric transformations" Topic #3 -------------- OP-SF NET 4.2 --------------- March 15, 1997 From: G. Pogosyan <symphys8@thsun1.jinr.dubna.su> Subject: VIII International Conference on Symmetry Methods in Physics, Dubna, Russia The VIII International Conference on Symmetry Methods in Physics will be held in Dubna, Russia during July 28 - August 2, 1997. This Conference, organized by the Bogoliubov Laboratory of Theoretical Physics of the Joint Institute for Nuclear Research, is dedicated to the 80th anniversary of Professor Smorodinsky's birth. One of the topics of the conference will be "Quantum groups and q-special functions". See the web page mentioned below for further topics. Plenary speakers are ( * means to be confirmed): M.Charlton (London) V.K.Dobrev (Sofia) H.D.Doebner * (Clausthal) J.P.Draayer (Baton Rouge) F.Iachello (New Haven) A.U.Klimyk * (Kiev) P.Kulish (St.Petersburg) V.B.Kuznetsov (Leeds) F.J.Lambert * (Brussels) I.Meshkov (Dubna) W.Miller Jr. (Minneapolis) P.Van Moerbeke (Louvain-la-Neuve) A.Yu.Morozov (Moscow) A.M.Perelomov (Zaragoza) L.O'Raifeartaigh (Dublin) N.Reshetikhin * (Berkeley) A.B.Shabat (Moscow) D.V.Shirkov (Dubna) G.Sudarshan * (Austin) It is possible to apply for giving a contributed talk. The Proceedings of the conference will be published. Persons interested in participating are kindly asked to apply before March 31, 1997 by fax or e-mail. For further information and for the application form see the Web page http://thsun1.jinr.dubna.su:80/~symphys8/ or send an email to the chairman of the local organizing committee Dr. George Pogosyan <symphys8@thsun1.jinr.dubna.su>. Topic #4 -------------- OP-SF NET 4.2 --------------- March 15, 1997 From: OP-SF Net editor <thk@wins.uva.nl> Subject: Symposium on orthogonal polynomials in Sevilla The VIII Simposium sobre Polinomios Ortogonales y Aplicaciones in Sevilla, Spain during September 22-26, 1997 was announced in OP-SF Net 3.5, Topic #5. Updated information can be found on the web page http://www.wis.kuleuven.ac.be/wis/applied/walter/sevilla.html For the reader's convenience we give here a list of plenary speakers: * D. Alpay: Orthogonal matrix polynomials and reproducing kernel spaces * Alexander I. Aptekarev (no title yet) * Richard Askey: Combinatorics and the classical orthogonal polynomials * Christian Berg: Indeterminate moment problems * Doron Lubinsky: Orthogonal polynomials for exponential weights * Andrei Martinez: On asymptotic properties of Sobolev orthogonal polynomials * Paul Nevai: The L^p (p>2) variant of Steklov's conjecture fails too * Evgeni Rakhmanov: On asymptotics of orthogonal polynomials of a discrete variable * Edward B. Saff (no title yet) * Herbert Stahl: Spurious poles of Pade approximants * Vilmos Totik: General orthogonal polynomials Registration should be done not later than May 30, 1997. Send email to 8spoa@obelix.cica.es Topic #5 -------------- OP-SF NET 4.2 ------------- March 15,1997 From: Tom Koornwinder <thk@wins.uva.nl>, Walter Van Assche <walter@wis.kuleuven.ac.be> Subject: Report from Madras Workshop on Special Functions & Differential Equations: Chennai (Madras), India, January 13-24, 1997 A workshop on special functions and differential equations was held at the "Institute of Mathematical Sciences" in Chennai (formerly known as Madras) in India, from January 13 to January 24, 1997. The main organizer was K. Srinivasa Rao, who succeeded in getting about 75 participants, with approximately two thirds of them from India. The other participants were from Belgium (7), The Netherlands (3), Australia (2), New Zealand, Finland, Canada, Poland, Germany, Austria, France, and Italy (each 1), and some people from India working temporarily abroad. The background of speakers and participants was partly from pure and applied mathematics and partly from mathematical and theoretical physics. At least half of the lectures dealt with the first conference theme, special functions. The other theme of differential equations was approached both from the analytic side and from the numerical side. A few lectures merged both themes. All lectures were plenary and invited and had a standard length of 45 minutes. There were quite a few minicourses consisting of two or three lectures. The topics of these minicourses ranged over: Ramanujan's mock theta functions; connection and linearization coefficients for orthogonal polynomials; generalizations of Laguerre polynomials by adding (a derivative of) delta(x) to the weight function; applications of 3j, 6j and 9j coefficients to special function theory; irrationality and transcendence proofs of some famous numbers by approximation theory; special functions associated with root systems; creation operators for Jack and Macdonald polynomials; numerical methods for solving o.d.e.'s; parallel algorithms for solving o.d.e.'s; non-linear quantum mechanics; the uncertainty principle; nonlinear evolution equations. D.-N. Verma (of Verma module fame) gave some informal seminars on Lie theory, Clebsch-Gordan coefficients and related matters, and Tom Koornwinder filled a gap in the program by giving a seminar lecture on Zeilberger's algorithm. The workshop even made the local newspaper and television due to a special lecture "A nuclear-weapon free world: desirable? possible? probable?" by F. Calogero, secretary general of the Pugwash conferences on science and world affairs, which was attended by his excellency R. Venkataraman, former president of India. During the opening ceremony of the workshop, R.P. Agarwal gave a survey on special functions in India during the last century. Among others, the theory of q-special functions, the (Miller type) Lie theoretic approach to special functions, and applications to theoretical physics and probability theory are well represented nowadays in India. Professor Agarwal concluded his survey with a call to avoid superficial work and to look always for deep results. Tom Koornwinder, as vice-chair of our SIAM Activity Group, was asked to make some remarks in reply. He indicated some further active research areas in our field, such as special functions of several variables, their relation with certain algebraic structures (Lie groups and algebras, root systems, quantum groups, Hecke algebras), the general theory of orthogonal polynomials (including the Sobolev inner products), computer algebra methods for finding hypergeometric identities, and the application of special functions in real life situations (engineering). Some of these aspects indeed were the subject of subsequent lectures. During the workshop there was an informal meeting for founding a Society for Special Functions & Applications in India. Its aim will be to promote research in this area, to inform people of what is going on, and possibly to create a new India-based forum for bringing out research publications of international standard on special functions. Application forms for life-long membership are already available. Interaction with our SIAM activity group looked desirable to all present at the discussions, certainly concerning the Newsletter. A very extensive cultural program was prepared by the organizers. Among the events were a dance performance, a concert of traditional Indian music, a trip to a drive-in movie to see a Tamil version of Mrs. Doubtfire, and on Sunday a visit to the temple cities Kancheepuram and Mahabalipuram to visit the temples (barefoot of course) and to do business with the local sandal makers and sculptors (bargaining skill is desirable). Ramanujan is of course very closely connected with Chennai and a visit to the Ramanujan museum and the Ramanujan Institute for Mathematical Sciences of the University of Madras was therefore a natural part of the program. The Ramanujan museum is a rather recent realisation located in a mathematics education center. Srinivasa Rao gave a lecture on the life and work of Ramanujan and afterwards we were able to see the displays in the museum. Some of Ramanujan's work is very suitable for use in mathematics courses at all levels and the Ramanujan museum wants to advertize this idea. Our visit to the museum ended with a delicious high tea organized with great care and effort by the mathematics education center. All western participants were impressed by the quality of the hosting Institute of Mathematical Sciences, the great hospitality, and (for newcomers) the fascinating intricacies of Indian culture and society. The efforts of prof. K. Srinivasa Rao to make this workshop into a success are really beyond praise. Tom H Koornwinder Walter Van Assche Topic #6 -------------- OP-SF NET 4.2 --------------- March 15, 1997 From: OP-SF Net editor <thk@wins.uva.nl> Subject: Bourbaki Lecture on Dunkl operators On March 1, 1997 Gert Heckman (Catholic University of Nijmegen) delivered a lecture in the Seminaire Bourbaki, Paris on "Dunkl operators". We congratulate Gert Heckman and Charles Dunkl. Topic #7 -------------- OP-SF NET 4.2 ------------- March 15,1997 From: Dick Askey <askey@math.wisc.edu> Subject: Death of Louis Auslander Louis Auslander died at 68 on February 25, 1997. His early work was on differential geometry. Later he worked on nilpotent Lie groups, and this led to the study of theta functions. Two of his books are "Abelian Harmonic Analysis, Theta Functions and Function Algebras on a Nilmanifold", Springer, 1975, and "Lecture Notes on Nil-Theta Functions", CBMS lectures published by American Mathematical Society, 1977. His later work was on finite Fourier transforms, which also involves some special functions. His expository paper with Tolimieri: "Is computing the finite Fourier transform pure or applied mathematics?", BAMS (New Series), 1 (1979) 847-897, has been cited frequently, and is worth reading. The first of the books mentioned above is also joint with Richard Tolimieri. Auslander attended the Oberwolfach meeting on special functions and group theory run by Askey, Koornwinder and Schempp in 1983. He was fascinated by some of the work described there, as were some of us by his work. Topic #8 -------------- OP-SF NET 4.2 ------------- March 15,1997 From: Frank Olver <olver@ipst.umd.edu> Subject: Reprinting of "Asymptotics and Special Functions" Readers may be interested to learn that my book "Asymptotics and Special Functions", originally published by Academic Press in 1974, has just been reprinted by A.K. Peters, Ltd. It is again in hardback form and it lists at $69. Copies can be ordered through booksellers (ISBN: 1-56881-069-5) or directly from the publisher at 289 Linden Street, Wellesley, MA 02181; email: akpeters@tiac.net. Topic #9 -------------- OP-SF NET 4.2 ------------- March 15,1997 From: Martin Muldoon <muldoon@yorku.ca> Subject: Workshop Proceedings on "Special Functions, q-Series and Related Topics" The proceedings volume for the 1995 Toronto Workshop on "Special Functions, q-Series and Related Topics" (OP-SF NET 2.4, Topic #8) has now appeared. The following information is taken from the AMS Web Page. "Special Functions, q-Series and Related Topics" Edited by: Mourad E. H. Ismail (University of South Florida), David R. Masson (University of Toronto) and Mizan Rahman (Carleton University). This book contains contributions from the proceedings at The Fields Institute workshop on Special Functions, q-Series and Related Topics that was held in June 1995. The articles cover areas from quantum groups and their representations, multivariate special functions, q-series, and symbolic algebra techniques as well as the traditional areas of single-variable special functions. The book contains both pure and applied topics and reflects recent trends of research in the various areas of special functions. Contents K. Alladi -- Refinements of Rogers-Ramanujan type identities B. C. Berndt, H. H. Chan, and L.-C. Zhang -- Ramanujan's class invariants with applications to the values of q-continued fractions and theta functions G. Gasper -- Elementary derivations of summation and transformation formulas for q-series R. W. Gosper, Jr. -- \int ^{m/6}_{n/4}\ln \Gamma (z)dz F. A. Grunbaum and L. Haine -- On a q-analogue of Gauss equation and some q-Riccati equations R. A. Gustafson and C. Krattenthaler -- Determinant evaluations and U(n) extensions of Heine's _2\phi _1-transformations M. E. H. Ismail, D. R. Masson, and S. K. Suslov -- Some generating functions for q-polynomials E. Koelink -- Addition formulas for q-special functions T. H. Koornwinder -- Special functions and q-commuting variables M. Noumi, M. S. Dijkhuizen, and T. Sugitani -- Multivariable Askey-Wilson polynomials and quantum complex Grassmannians P. Paule and A. Riese -- A Mathematica q-analogue of Zeilberger's algorithm based on an algebraically motivated approach to q-hypergeometric telescoping W. Van Assche -- Orthogonal polynomials in the complex plane and on the real line Y. Xu -- On orthogonal polynomials in several variables Appendix I: Program list of speakers and topics Appendix II: List of participants Details: Publisher: American Mathematical Society Distributor: American Mathematical Society Series: Fields Institute Communications, ISSN: 1069-5265 Volume: 14 Publication Year: 1997 ISBN: 0-8218-0524-X Paging: 277 pp. Binding: hardcover List Price: $82 Institutional Member Price: $66 Individual Member Price: $49 Itemcode: FIC/14 Topic #10 -------------- OP-SF NET 4.2 ------------- March 15,1997 From: Frank G. Garvan <frank@math.ufl.edu> Subject: The Ramanujan Journal The Ramanujan Journal, an international journal devoted to the areas of mathematics influenced by Ramanujan was announced in OP-SF NET 2-4, #15 Here is the Table of Contents of Volume 1, Number 1, January 1997: ---------------------------------------------------------------------- Editorial Krishnaswami Alladi 5 ---------------------------------------------------------------------- The Well-Poised Thread: An Organized Chronicle of Some Amazing Summations and Their Implications (Survey Article) George E. Andrews 7 ---------------------------------------------------------------------- Divisibility of Certain Partition Functions by Powers of Primes Basil Gordon and Ken Ono 25 ---------------------------------------------------------------------- Ramanujan's Master Theorem for Hermitian Symmetric Spaces Hongming Ding 35 ---------------------------------------------------------------------- Ramanujan's Singular Moduli Bruce C. Berndt, Heng Huat Chan, and Liang-Cheng Zhang 53 ---------------------------------------------------------------------- On the Ramanujan-Gollnitz-Gordon Continued Fraction Heng Huat Chan and Sen-Shan Huang 75 ---------------------------------------------------------------------- Rogers-Ramanujan type Identities for Partitions with Attached Odd Parts George E. Andrews and J. Plinio Santos 91 ---------------------------------------------------------------------- Lecture Hall Partitions Mireille Bousquet-Melou and Kimmo Eriksson 101 ---------------------------------------------------------------------- The Home Page of The Ramanujan Journal is at the URL: http://www.math.ufl.edu/~frank/ramanujan.html Topic #11 -------------- OP-SF NET 4.2 ------------- March 15,1997 From: OP-SF Net Editor <muldoon@yorku.ca> Subject: End of Problem Section in SIAM Review? We heard from Joop Boersma (Technical University Eindhoven) of a report that SIAM Review is considering dropping its Problem Section. Boersma would regret this very much. According to him the Problem Section provides a forum where problems from Applied Analysis, in particular, can be brought to the attention of a wider audience. He asks whether our Activity Group can intervene. Please send us your opinion. There has been some discussion among the editors and other officers of the Activity Group. Here are some extracts from their comments: Tom Koornwinder: "The number of people submitting or solving any problems is only a small minority. Part of these people invest a lot of time in these activities, and try to deal with problem sections in many different journals. Some even form teams for this purpose (e.g., the well-known O.P. Lossers team in Eindhoven). I think that it is not so harmful for this category of people when a problem section in one journal will stop, because there are many other journals (including our Newsletter) where such sections will remain. More serious is Boersma's argument that researchers can call the help of other specialists in such a way (for instance applied mathematicians calling the help of specialists in special functions). However I think that it is better not to hide such questions in a problem section, but rather call it a section on research questions. One other point about this Problem section is that it also gave some more publicity about Special Functions to the SIAM community (almost every issue of the Problems section had at least one problem on SF). In a sense that was good, because OP & SF does not get much other coverage in SIAM News and SIAM Review. On the other hand, by the very nature of a Problem Section, the aspects of Special Functions being treated there emphasize the "special" and the formula aspect of Special Functions, much less the qualitative and conceptual sides of the field. In this way such a Problem Section can also help to maintain or strengthen existing prejudices against special functions." Martin Muldoon: "The problems [in SIAM Review] are much too difficult. I suspect that many other readers would agree and that may explain why the Section may be chopped. I believe that its main strength, compared to problem sections in other journals, is that many of the problems arise from applications. While it is true that it provides a way for applied mathematicians to call on experts, in practice it is surely much too slow for this. A member once told me that he thought our Newsletter should not have a Problem Section since it competes with and takes problems away from SIAM Review. I answered that I thought that were more than enough good problems to go around." Nico Temme: "My opinion about problem sections in journals is that the reader should have a fair chance, and that much detailed and technical expertise should not be needed to solve the problems. In this sense it is good to have a few places where one can find problems. Nieuw Archief voor Wiskunde offers only problems of which the solutions are known. But they had difficult years some time ago to get good editors. "In some cases the problems are too difficult for a non-introduced reader. This is acceptable when the solution is not known. "Usually I am not motivated to solve the first category. It is more "educational" and it consumes too much time. When I see a problem with a * in SIAM Review (which means an "open problem") I become interested. "I think that there should be a place for both categories, and that it should be clear where to find both categories. SIAM Review has a long tradition on this, and the journal is available in many places. ... "I think that having a Problem Section in our Newsletter for open problems is important and of interest to many readers." Topic #12 -------------- OP-SF NET 4.2 ------------- March 15,1997 From: Wolfram Koepf <koepf@zib.de> Subject: Compiled Booklist and Electronic Services (This item appeared in The Activity Group's Newsletter, February 1997). Here I give the announced list of books and survey papers that should give a basis for understanding the current trends and needs in OP-SF. Let me say that the given list can be neither complete nor perfect. If somebody feels that an important item is missing, please let me know. The following list should rather be understood as under construction. We will try to put this list on OP-SF Web, where it can easily be updated. Electronically, the material could also be more easily organized in various ways. Readers who are interested in classical orthogonal polynomials should probably first look at [Chihara], [NU], [Rainville], [Szego], or [Tricomi]; readers looking for applications in mathematical physics might consider [NU]. [Artin] Artin, E.: "The Gamma Function." Holt, Rinehart and Winston, New York, 1964. [Askey1] Askey, R. A. (Ed.): "Theory and Application of Special Functions". Proceedings of an advanced seminar sponsored by the Mathematics Research Center, University of Wisconsin-Madison, March 21-April 2, 1975. Academic Press, New York, 1975. [Askey2] Askey, R. A. (Ed.): "Orthogonal Polynomials and Special Functions." Regional Conference Series in Applied Mathematics 21, SIAM, Philadelphia, 1975. [AKS] Askey, R. A., Koornwinder, T. H. and Schempp, W. (Eds.): "Special Functions: Group Theoretical Aspects and Applications." Mathematics and Its Applications, Vol. 18. Reidel, Dordrecht-Boston-Lancaster, 1984. [AW3] Askey, R. A. and Wilson, J.: Some basic hypergeometric orthogonal polynomials that generalize Jacobi polynomials. Memoirs Amer. Math. Soc. 319, Providence, Rhode Island, 1985. [Bailey] Bailey, W. N.: "Generalized Hypergeometric Series". Cambridge University Press, England, 1935; reprinted 1964 by Stechert-Hafner Service Agency, New York-London. [Chihara] Chihara, T. S.: "An Introduction to Orthogonal Polynomials." Gordon and Breach Publ., New York, 1978. [Freud] Freud, G.: "Orthogonale Polynome". Birkhauser, Basel, 1969; English translation, Pergamon Press, Oxford, 1971. [GR] Gasper, G. and Rahman, M.: "Basic Hypergeometric Series." Encyclopedia of Mathematics and Its Applications, Vol. 34. Cambridge University Press, 1990. [Geronimus1] Geronimus, Ya. L.: "Polynomials Orthogonal on a Circle and Interval." International Series of Monographs on Pure and Applied Mathematics, Vol. 18. Pergamon Press, Oxford-London-New York-Paris, 1961. [Geronimus2] Geronimus, Ya. L.: Appendix to the Russian translation of Szego's book "Orthogonal Polynomials." Staatsverlag fur physikalisch-mathematische Literatur, Moskau, 1962. [Henrici1] Henrici, P.: "Applied and Computational Complex Analysis, Vol. 1: Power Series, Integration, Conformal Mapping, Location of Zeros." John Wiley & Sons, New York, 1974. [Henrici2] Henrici, P.: "Applied and Computational Complex Analysis, Vol. 2: Special Functions, Integral Transforms, Asymptotics, Continued Fractions." John Wiley & Sons, New York, 1977. [Hua] Hua, L.K.: "Harmonic Analysis of Functions of Several Complex Variables in the Classical Domains." Translations of Mathematical Monographs, Vol. 6, Amer. Math. Soc., Providence, Rhode Island, 1963. [Lebedev] Lebedev, N. N.: "Special Functions and their Applications." Translated and edited by Richard A. Silverman. Dover Publications, New York, 1972. [LW] Lorentzen, L. and Waadeland, H.: "Continued Fractions with Applications." Studies in Computational Mathematics, Vol. 3. North-Holland, Amsterdam, 1992. [Miller1] Miller, W., Jr.: "Lie Theory and Special Functions." Academic Press, New York, 1968. [Miller2] Miller, W., Jr.: "Symmetry and Separation of Variables." Encyclopedia of Mathematics and Its Applications, Vol. 4. Addison-Wesley, Reading, Massachusetts, 1977. [Nevai1] Nevai, P. G.: "Orthogonal Polynomials." Memoirs Amer. Math. Soc., Vol. 213, Providence, Rhode Island, 1979. [Nevai2] Nevai, P. (Ed.): "Orthogonal Polynomials: Theory and Practice." Proceedings of the NATO Advanced Study Institute on Orthogonal Polynomials and Their Applications, Colombus, Ohio, U.S.A., May 22-June 3, 1989, Kluwer Academic Publ., Dordrecht-Boston-London, 1990. [NU] Nikiforov, A. F. and Uvarov, V. B.: "Special Functions of Mathematical Physics". Translated from the Russian by R. P. Boas, Birkhauser, Basel, 1988. [NSU] Nikiforov, A. F., Suslov, S. K. and Uvarov, V. B.: "Classical Orthogonal Polynomials of a Discrete Variable." Springer-Verlag, Berlin-Heidelberg-New York, 1991. [NS] Nikishin, E. M. and Sorokin, V. N.: "Rational Approximations and Orthogonality." Translations of Mathematical Monographs 92, Amer. Math. Soc., Providence, Rhode Island, 1991. [Olver] Olver, F. W. J.: "Asymptotics and Special Functions." Academic Press, New York, 1974. (reprinted A. K. Peters, 1997) [Perron] Perron, O.: "Die Lehre von den Kettenbruchen." Teubner, Leipzig, 1913; second edition, Chelsea, New York, 1950. [PWZ] Petkovvsek, M., Wilf, H. S. and Zeilberger, D.: "A=B." A. K. Peters, Wellesley, 1996. [Rainville] Rainville, E. D.: "Special Functions". The MacMillan Co., New York, 1960. [Richards] Richards, D. St. P. (Ed.): "Hypergeometric Functions on Domains of Positivity, Jack Polynomials, and Applications." Proceedings of an AMS special session, March 22-23, 1991 in Tampa, FL, USA. Contemporary Mathematics 138, Amer. Math. Soc., Providence, Rhode Island, 1992. [Shohat] Shohat, J. A. and Tamarkin, J. D. : "The Problem of Moments." Amer. Math. Soc., Providence, Rhode Island, 1963. [Szego] Szego, G.: "Orthogonal Polynomials." Amer. Math. Soc. Coll. Publ., Vol. 23, New York, 1939; 4th Edition, 1975. [ST] Stahl, H. and Totik, V.: "General Orthogonal Polynomials." Encyclopedia of Mathematics and Its Applications. Cambridge University Press, Cambridge, 1992. [Talman] Talman, J.: "Special Functions: a Group Theoretic Approach." W. A. Benjamin, New York, 1968. [Temme] Temme, N. M.: "Special Functions. An Introduction to the Classical Functions of Mathematical Physics." John Wiley & Sons Inc., New York, 1996. [Tricomi] Tricomi, F. G.: "Vorlesungen uber Orthogonalreihen." Grundlehren der Mathematischen Wissenschaften 76, Springer-Verlag, Berlin-Gottingen-Heidelberg, 1955. [VanAssche] Van Assche, W.: "Asymptotics for Orthogonal Polynomials." Lecture Notes Math. 1265, Springer, Berlin-Heidelberg-New York, 1987. [Vilenkin1] Vilenkin, N. Ya.: "Special Functions and the Theory of Group Representations." Translations of Mathematical Monographs 22, Amer. Math. Soc., Providence, Rhode Island, 1968. [Vilenkin2] Vilenkin, N. Ya., and Klimyk, A. U.: "Representation of Lie Groups and Special Functions, Vols. 1-3, and "Recent Advances", Kluwer Academic Publ., Dordrecht-Boston-London, 1992-1995. [Wall] Wall, H. S.: "Analytic Theory of Continued Fractions." Chelsea, Bronx, NY, 1973. The following are handbooks and other reference manuals for orthogonal polynomials and special functions. [AS] Abramowitz, M. and Stegun, I. A.: "Handbook of Mathematical Functions." Dover Publ., New York, 1964. [Erdelyi1] Erdelyi, A., Magnus, W., Oberhettinger, F. and Tricomi, F. G.: "Higher Transcendental Functions, Vols. 1-3." McGraw-Hill, New York, 1953-1955. [Erdelyi1] Erdelyi, A., Magnus, W., Oberhettinger, F. and Tricomi, F. G.: "Tables of Integral Transforms, Vols. 1-2." McGraw-Hill, New York, 1954. [GR] Gradshteyn, I. S. and Ryzhik, I. M.: "Table of Integrals, Series, and Products." Printed and CD-ROM Version. Academic Press, San Diego, California, 1996. [Han] Hansen, E. R.: "A Table of Series and Products." Prentice-Hall, Englewood Cliffs, NJ, 1975. [Swarttouw] Koekoek, R. and Swarttouw, R. F.: "The Askey-scheme of hypergeometric orthogonal polynomials and its q analogue." Report 94-05, Technische Universiteit Delft, Faculty of Technical Mathematics and Informatics, Delft, 1994. Electronic version: http://www.can.nl/~renes/index.html [MOS] Magnus, W., Oberhettinger, F. and Soni, R. P.: "Formulas and Theorems for the Special Functions of Mathematical Physics". Springer, Berlin-Heidelberg-New York, 1966. [PBM] Prudnikov, A.P., Brychkov, Yu.A. and Marichev, O.I.: "Integrals and Series, Vols.1-3." Gordon and Breach Publ., New York, 1989-1990. Electronic Services Here is a list of electronic services and WWW sites which are of interest to the members of our Activity Group. [SIAM OPSF] http://www.math.yorku.ca/Who/Faculty/Muldoon/siamopsf SIAM Activity Group on Orthogonal Polynomials and Special Functions. [Addresses] http://www.math.yorku.ca/Who/Faculty/Muldoon/siamopsf/WWWaddresses.html Martin Muldoon and Tom H. Koornwinder: A collection of electronic services relevant for OPSF [OPSF] ftp://unvie6.un.or.at/siam/ Hans Haubold: OPSF ftp site [aboutMathSciNet] http://www.ams.org/msnhtml/about_mathsci.html or http://ams.mathematik.uni-bielefeld.de/about_mathsci.html Mathematical Reviews: about MathSciNet [MathSciNet] http://www.ams.org/msnhtml/mathscinet or http://ams.mathematik.uni-bielefeld.de/mathscinet Mathematical Reviews: MathSciNet [MR] http://www.ams.org/committee/publications/author-lookup.html Mathematical Reviews: Author Lookup [Zentralblatt] http://www.emis.de/cgi-bin/MATH Zentralblatt fur Mathematik: MATH Database 1931-1996 on-line [AMSPPS] http://www.ams.org/preprints AMS: Preprint Server [netlib] http://www.netlib.org Netlib: collection of mathematical software, papers, and databases [CPC] http://www.cpc.cs.qub.ac.uk/cpc Elsevier: The CPC International Program Library [AWS] http://www.can.nl/~renes/index.html Rene Swarttouw: Electronic version of the Askey-Wilson scheme report. [Swarttouw] http://www.can.nl/~demo/CAOP/CAOP.html Rene Swarttouw: An interactive on-line version of the Askey-Wilson scheme, using Koepf's Maple implementations of Zeilberger's algorithm [OMI] http://www.integrals.com Wolfram Research: On-line Mathematica Integrator [ISC] http://www.cecm.sfu.ca/projects/ISC CECM: Inverse Symbolic Calculator [IS] http://netlib.att.com/math/sloane/doc/eistop.html N. J. A. Sloane: Integer Sequences [TI] http://http.cs.berkeley.edu/~fateman/htest.html Richard Fateman: Table of Integrals Look Up [FMC] http://www.mathsoft.com/cgi-shl/constant.bat Steven Finch: Favorite Mathematical Constants [RNC] http://www.cecm.sfu.ca/organics/papers/bailey David H. Bailey and Simon Plouffe: Recognizing Numerical Constants [Numbers] http://archives.math.utk.edu/subjects/numbers.html Mathematics Archives: Numbers [NESF] http://math.nist.gov/nesf Daniel Lozier: Numerical Evaluation of Special Functions Wolfram Koepf Topic #13 -------------- OP-SF NET 4.2 --------------- March 15, 1997 From: OP-SF Net editor <thk@wins.uva.nl> Subject: ftp site 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. One can approach the archive by anonymous ftp to unvie6.un.or.at, directory siam. Very recently, Hans Haubold has constructed a convenient WWW interface for this ftp site, at the address ftp://unvie6.un.or.at/siam/opsf_new/00index.html Via this home page you can move to a page listing all available files in alphabetical order of authors, and offering a link to each file. You can also move from the home page to the ftp interface. At the moment it is only in this way that you can reach the submissions directory, where the most recent contributions reside. Hans Haubold is sending regular information about new submissions to a large mailing list. Please contact him <haubold@Relay1.Austria.EU.net> if you want to be added to this mailing list or if your email address on the list is no longer correct. Since January 15, 1997 the following paper has been submitted to the archive: W. Koepf and D. Schmersau, Representations of Orthogonal Polynomials. (see siam/submissions/koepf_schmersau6.ps). Topic #14 -------------- OP-SF NET 4.2 ------------- March 15,1997 From: OP-SF Net Editors <thk@wins.uva.nl>, <muldoon@yorku.ca> Subject: Changes of Address, WWW Pages, etc. 1. The preprint archive "Orthogonal polynomials and related special functions" maintained by Hans Haubold has got a new WWW address: ftp://unvie6.un.or.at/siam/opsf_new/00index.html See Topic #13 for more information on this archive. 2. The URL for AT-NET should be changed to: http://www.mi.uni-erlangen.de/~approx/ 3. A particularly extensive list of Mathematical links is maintained at: Mathematics Information Servers --- Penn State http://www.math.psu.edu/MathLists/Contents.html 4. Daniel Loeb has moved from Universite de Bordeaux, France to a position at Daniel H. Wagner, Associates, Malvern, PA, USA. His present address is: 171 Stoneway Lane, Bala Cynwyd, PA 19004-3124, USA Phone +1-610-668-7732, Fax: +1-610-644-6293, email: loeb@sprynet.com or loeb@pa.wagner.com His Web site remains in Bordeaux but the address has changed slightly: WWW: http://dept-info.labri.u-bordeaux.fr/~loeb/index.html Topic #15 -------------- OP-SF NET 4.2 --------------- March 15, 1997 From: OP-SF Net editor <thk@wins.uva.nl> 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: ftp://ftp.wins.uva.nl/pub/mathematics/reports/Analysis/koornwinder/opsfnet.dir or WWW: http://www.math.ohio-state.edu/JAT/DATA/OPSFNET/opsfnet.html Contributions to the OP-SF Net 4.3 should reach the email address poly@siam.org before May 1, 1997. The Activity Group also sponsors a (printed) Newsletter edited by Wolfram Koepf. Deadline for submissions to be included in the June 1997 issue is May 15, 1997 and for the October 1997 issue it is September 15, 1997. Please send your Newsletter contributions directly to the Editor: Wolfram Koepf Konrad-Zuse-Zentrum Takustr. 7 D-14195 Berlin-Dahlem, Germany tel.: +49-30-841 85-348/347 fax: +49-30-841 85-269/125 email: 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. 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 by ftp from: ftp.wins.uva.nl, in directory - - pub/mathematics/reports/Analysis/koornwinder/opsfnet.dir - - 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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