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o - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - o - - - November 15, 1996 - - O P - S F N E T Volume 3, 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 Today's Topics: 1. Editorship, SIAM J. Math. Anal. 2. History of OP & SF on OP-SF WEB 3. Revising the 1991 Mathematics Subject Classification 4. SIAM Student Paper Prizes 5. One-day meeting in Leuven on Constructive Complex Analysis 6. Centenary conference at Univ. of Wisconsin - Madison 7. Death of Felix Arscott 8. Postdoctoral Opportunity in Computation of Special Functions 9. Report of Madrid Workshop on Orthogonal Polynomials in Mathematical Physics 10. Bibliography on Orthogonal Polynomials 11. Extended version of Askey-Wilson-scheme report 12. Review of "Table of Integrals, Series, and Products, CD-ROM Version 1.0" 13. Book announcement on Quantum Theory of Angular Momentum 14. Announcement of edited book on Symmetries and Integrability of Difference Equations 15. Mathai Festschrift 16. Announcement of book on Zonal Polynomials 17. Announcement of edited book on Mathematical Analysis, Wavelets and Signal Processing 18. Announcement of book on Polynomials and Polynomial Inequalities 19. The Collected Works of Lars Onsager 20. ftp site for papers in Orthogonal Polynomials and Special Functions 21. Changes of Address, WWW pages. etc. 22. Part 33 of 1991 Mathematics Subject Classification 23. Montreal Workshop on Calogero-Moser-Sutherland systems 24. Obtaining back issues of OP-SF Net and submitting contributions to OP-SF Net and Newsletter Calendar of events: see issue/topic: 1996 November 28: One-day meeting in Leuven on Constructive Complex Analysis 3.6 #5 1997 January 13-24: Workshop on Special Functions & Differential Equations, Madras 3.3 #6 March 10-15: Workshop on Calogero-Moser-Sutherland Systems in Montreal 3.6 #23 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 June 2-6: First ISAAC Conference (International Society for Analysis, its Applications and Computation) in Newark, Delaware 3.5 #3 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 July 14-18: 9th International Conference on Formal Power Series and Algebraic Combinatorics, Vienna, Austria 3.4 #7 September 22-26: VIII Simposium sobre Polinomios Ortogonales y Aplicaciones, Seville, Spain 3.5 #5 Topic #1 --------------- OP-SF NET ---------------- November 15, 1996 From: Nico Temme <nicot@cwi.nl> Subject: Editorship, SIAM J. Math. Anal. I want to inform the OP & SF community that I have accepted an invitation from Managing Editor DiBenedetto to join the editorial board of SIAM J. Math. Analysis. I have pointed out that my main activities are in asymptotics (also related with special functions) and that I expect that more theoretical papers on special functions and orthogonal polynomials will be handled by a different editor. Nico Temme Topic #2 --------------- OP-SF NET ---------------- November 15, 1996 From: Tom Koornwinder <thk@wins.uva.nl> Subject: History of OP & SF on OP-SF WEB On OP-SF WEB we have started a page about the history of OP & SF; see http://www.math.yorku.ca/Who/Faculty/Muldoon/siamopsf/ This section of OP-SF WEB is intended to provide on-line information on significant contributors to Orthogonal Polynomials and Special Functions, who are no longer alive. A rich source of initial information can be found in the History of Mathematics archive at St. Andrews University, see http://www-groups.dcs.st-and.ac.uk/~history/ In particular, consult their full alphabetical index and their search form. A quick scan revealed the names of Airy, Akhiezer, Appell, Bateman, Bell, Bessel, Catalan, Chebyshev, Chandrasekhar, Coulomb, Dixon, Erdelyi, Euler, Fibonacci, Gauss, Gegenbauer, Henrici, Jacobi, Kummer, Laguerre, Legendre, Lerch, Mascheroni, Pade, Pfaff, Ramanujan, Stieltjes, Sturm, Szego, Ulam, Vandermonde, Whittaker. Probably, many further names relevant for our field can be found there. On our Web page we will provide specific links to places elsewhere on the Web which provide historical information about persons significant for our field. Until now we only know about a few such places. We invite our readers to inform us about other relevant places. We also want to ask you to write a page about your favourite mathematician from history if you think that this person is not yet sufficiently covered on the Web. Topic #3 --------------- OP-SF NET ---------------- November 15, 1996 From: Tom Koornwinder <thk@wins.uva.nl> Subject: Revising the 1991 Mathematics Subject Classification In OP-SF Net 3.3, topic #12, we printed the following information which was taken from Notices AMS, December 1995, p.1547, see also WWW: http://www.ams.org/committee/publications/msc-2000-let.html > Mathematics Subject Classification Scheme Revision > > To the Mathematical Community: > > The editors of Mathematical Reviews and Zentralblatt fur Mathematik > have initiated the process of revising the 1991 Mathematics Subject > Classification, which is used by both journals as their classification > system. The editors do not plan a radical revision of the present 1991 > system, but it is clear that some changes will be needed in order to > accommodate recent developments in mathematical research. > > It will be necessary to have this revision completed by the end of 1998 > so that it can begin to be used in Current Mathematical Publications in > mid 1999, and in Mathematical Reviews and Zentralblatt fur Mathematik > beginning in 2000. > > We hereby solicit comments and suggestions from the mathematical > community to be considered in this revision process. These should be > submitted by June, 1997. The preferred method of communication is by > e-mail: > > msc2000@ams.org or msc2000@zblmath.fiz-karlsruhe.de > > (Comments and suggestions may also be sent to either one of us at the > addresses given below.) We are eager that research mathematicians and > scholars have input in this revision process as soon as possible. > > R. Keith Dennis Bernd Wegner > Executive Editor Chefredakteur > Mathematical Reviews Zentralblatt fur Mathematik We called then for suggestions for revision concerning the sections on Orthogonal Polynomials and Special Functions. (For your convenience we have included part 33 of the 1991 Math. Subject Classification as Topic #22 near the end of this issue.) Up to now we have received the following comments: Wolfram Koepf <koepf@zib.de>: - In one way or the other the Askey-Wilson scheme should appear here. One could mention these in 33C45 and 33D45. A distinction between these "classical" systems and other systems could also be helpful. - Algorithmic methods, and/or the use of symbolic computation could be mentioned explicitly. Charles Dunkl <cfd5z@virginia.edu>: - Should wavelets get more attention in 42c? - A finer classification of Askey-Wilson types? - A cross-reference to quantum groups? Tom Koornwinder <thk@wins.uva.nl>: - 33C45, change into: Orthogonal polynomials and functions of hypergeometric type (Jacobi, Laguerre, Hermite, Askey scheme, etc.; see 42C05 for general orthogonal polynomials and functions) - add: 33C47 Other special orthogonal polynomials and functions - 33C50: change into: Orthogonal polynomials and functions in several variables expressible in terms of special functions in one variable - add: 33C52 Special functions associated with root systems - 33C55, change into: Spherical harmonics Motivation: ultraspherical polynomials unrelated to spherical harmonics are covered by 33C45; spherical functions (on Gelfand pairs) are covered by 33C80 - 33C80, change into: Connections with groups, algebras and related topics - 33D10: What is the difference between theta functions and basic theta functions? - 33D15 and 33D20: What is the distinction between basic hypergeometric functions and generalized hypergeometric functions? For instance: the first category is r phi s with r<=2 and s<=1 and the second category is general r phi s ? - 33D45, change into: Orthogonal polynomials and functions of q-hypergeometric type (Askey-Wilson polynomials, etc.) - add: 33D50 Orthogonal polynomials and functions in several variables expressible in terms of q-special functions in one variable - add: 33D52 q-Special functions associated with root systems - 33D55: skip this item, it is not clear what is meant. - 33C80, change into: Connections with quantum groups, Chevalley groups, p-adic groups, Hecke algebras and related topics - 42C05. change into: Orthogonal functions and polynomials in one variable, general theory [See also ... ] - add: 42C07: Orthogonal functions and polynomials in several variables, general theory [See also ... ] Readers of OP-SF Net are invited to send us their comments for inclusion in the next issue of OP-SF Net. All comments will be eventually bundled and passed to the Executive Editor of Mathematical Reviews. Topic #4 --------------- OP-SF NET ---------------- November 15, 1996 From: Allison Bogardo <bogardo@siam.org> Subject: SIAM Student Paper Prizes The annual SIAM Student Paper Prizes will be awarded during the 1997 SIAM Annual Meeting. 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 be invited to attend the 1997 annual meeting in Stanford, California, July 14-18. Each winner must present his/her paper at the meeting and will receive a $750 cash award as well as gratis registration for the meeting. 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 by SIAM on or before March 15, 1997. 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, 1997. If you have any questions, please contact 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 #5 --------------- OP-SF NET ---------------- November 15, 1996 From: Walter Van Assche Subject: One-day meeting in Leuven on Constructive Complex Analysis On Thursday, November 28, a one-day meeting will be organized at the Katholieke Universiteit Leuven. The topic is Constructive Complex Analysis. Speakers are * Arno Kuijlaars: "A survey of approximation, potential theory and Chebyshev quadrature" * Walter Van Assche: "An introduction to Hermite-Pade simultaneous rational approximation" * Jeffrey S. Geronimo: "Orthogonal polynomials on the unit circle with random recurrence coefficients" * Valeri Kaliaguine: "Spectral theory for non-symmetric operators associated with simultaneous rational approximation" * Guillermo Lopez Lagomasino: "Orthogonal polynomials with complex recurrence coefficients" More information can be found at http://www.wis.kuleuven.ac.be/wis/applied/cca.html Topic #6 --------------- OP-SF NET ---------------- November 15, 1996 From: Charles Dunkl <cfd5z@virginia.edu> Subject: Centenary conference at Univ. of Wisconsin - Madison This conference, to be held on May 22-24, 1997, was announced in OP-SF Net 3.4, Topic #5. Charles Dunkl will be organising a minisymposium there on special functions. Participants will have to pay their own transportation, lodging and meals, but there will be no registration fees. Anybody who would like to be considered by Charles as a speaker at the special function session should contact him as soon as possible, since he is forming the program by the end of November. Topic #7 --------------- OP-SF NET ---------------- November 15, 1996 From: Martin Muldoon <muldoon@yorku.ca> Subject: Death of Felix Arscott Felix Arscott, Professor Emeritus in the Department of Applied Mathematics at the University of Manitoba, died suddenly on July 5, 1996 while on holiday in England. Professor Arscott was a leading expert in the "higher special functions" and associated differential equations (a paper of his from 1980 is picturesquely titled "The Land beyond Bessel") and is one of the authors of the recent monograph "Heun's Differential Equations", Oxford University Press, 1995 (OP-SF NET 2-5, Topic #11). Born in the London suburb of Greenwich in 1922, Professor Arscott spent most of the Second World War in the Royal Air Force, leaving the service as a commissioned officer and having gained an honours degree in Mathematics from the University of London by private study. After a few years of teaching, he completed an M.Sc. in Mathematics in 1951, and went to teach mathematics at Makerere College, then the leading educational institution in eastern Africa. During this period, he wrote a thesis on special functions and received the Ph.D. of the University of London in 1956. There followed positions at Aberdeen, Battersea College of Technology (later the University of Surrey) and the University of Reading. During this period he coauthored with I. M. Khabaza the book "Tables of Lame polynomials", Pergamon Press (1962), wrote "Periodic Differential Equations: An Introduction to Mathieu, Lame, and Allied Functions", Pergamon (1964) and translated O. Boruvka's "Linear differential transformations of the second order", English Universities Press (1971). Along the way, he had been a visiting professor at the Universities of Wisconsin and Calgary, had supervised six Ph.D. theses, had written 21 papers and was a founding Fellow of the Institute of Mathematics and its Applications. In 1974, Arscott became Head of the fledgling Department of Applied Mathematics at the University of Manitoba, a position he was to hold for eleven years. Apart from administrative leaves at Oxford and Dundee, he was associated with the University of Manitoba for the rest of his life. He accomplished much at Manitoba, building a Department which did all of the Engineers' service teaching and set up Science programmes in Applied Mathematics. Apart from the work mentioned above, Felix Arscott worked on multiparameter eigenvalue problems, difference equations orthogonal bipolynomials and (in collaboration) on elasticity and numerical construction of special functions, There can be few members of the group whose work has touched so many facets of our subject. (I am indebted to Professor Robert Thomas for much of the information in this notice.) Topic #8 --------------- OP-SF NET ---------------- November 15, 1996 From: Daniel Lozier <dlozier@nist.gov> Subject: Postdoctoral Opportunity in Computation of Special Functions This research opportunity focuses on improving the numerical support of higher transcendental functions in parallel and other advanced computational settings through development of algorithms, software and test procedures. An applicant with strong preparation in classical mathematical analysis, especially complex analysis, is sought. Other relevant preparation includes experience in numerical analysis, theory of special functions and computer science. Emphasis in algorithm development is placed on methods for generating numerical values of special functions for complex values of their arguments and parameters. For example, in conjunction with asymptotic and other series expansions, differential and difference equations can be solved in parallel to form stable and effective algorithms in the complex domain. Detailed mathematical analysis is required to bound, or estimate, truncation errors and optimize algorithmic parameters. Emphasis in software and test procedure development is placed on construction of robust and highly reliable packages and systems. The purpose is to fill gaps and correct defects that exist in currently available library software for special functions, and to provide a user-oriented test service capable of being tailored to very specific needs. Progress in algorithm development is fundamental to these applications, as is the use of advanced Internet communications and parallel computing techniques. This Postdoctoral Research Associateship is administered by the National Research Council, Washington, DC. Only US citizens are eligible. Its tenure is two years starting not earlier than July 1, 1997, and not later than February 1, 1998. Applications must be mailed by January 15, 1997. The doctorate must have been received less than five years before application. The base salary is $45,500. For further information, contact as soon as possible the Research Adviser for this Associateship: Dr. Daniel W. Lozier Building 820, Room 365 Applied and Computational Mathematics Division National Institute of Standards and Technology Gaithersburg, MD 20899 E-mail: dlozier@nist.gov, telephone: (301) 975-2706. Topic #9 --------------- OP-SF NET ---------------- November 15, 1996 From: R. Alvarez-Nodarse <renato@dulcinea.uc3m.es> Subject: Report of Madrid Workshop on Orthogonal Polynomials in Mathematical Physics A total of 74 participants engaged in friendly discussions and a pleasant atmosphere accompanied the meeting. Thirteen Spanish institutions were represented by 53 people and another thirteen foreign institution by the rest. Each of the five invited speakers gave two one-hour lectures: - Natig Atakishiev: (Instituto de Investigaciones en Matematicas Aplicadas y en Sistemas. Univ. Nacional Autonoma de Mexico. Cuernavaca. Mexico.) Difference Equations and Some of their Solutions. Ramanujan-type Continuous Measures for Classical q-Polynomials. - Jesus S. Dehesa: (Departamento de Fisica Moderna. Univ. de Granada, Spain.) Information Theory, Quantum Entropy and Orthogonal Polynomials. - Yuri F. Smirnov: (Instituto de Fisica, Univ. Nacional Autonoma de Mexico, Mexico). Orthogonal polynomials of a Discrete Variable and Quantum Algebras SU_q(2) and SU_q(1,1). Hidden sl(2) Algebra of the Finite Difference Equations. - H. T. Koelink: (Univ. of Amsterdam, The Netherlands.) Addition Formulas for q-Special Functions. Hecke algebras and q-Krawtchouk polynomials. - Alexander Aptekarev: (Keldysh Institute, Russian Academy of Sciences, Moscow.) Toda-type Dynamics for the Coefficients of Recurrence Relations. The sessions were completed by thirteen half-hour communications. These short communications were delivered by: - Andre Ronveaux: Orthogonal Polynomials: Connection and Linearization Coefficients. - Roeloef Koekoek: Recent Developments in the Research of Differential Operators for Generalized (Sobolev) Orthogonal Polynomials. - Aldo Tagliani: Entropy-convergence, Instability in Stieltjes and Hamburger Moment Problems. - Ramon Orive: Rational Approximation to Certain Functions with Branch Points. - Wolfgang Gawronski: On the Zeros of Classical Orthogonal Polynomials with Large Complex Parameters - Lucas Jodar: A Matrix Formula for the Generating Function of the Product of Hermite Matrix Polynomials. - Pierpaolo Natalini: Some New Sets of Relativistic Orthogonal Polynomials. - Franciszek Szafraniec: Orthogonal polynomials in building models of the quantum harmonic oscillator. - Federico Finkel: Quasi Exactly Solvable Potentials on the Line and Orthogonal Polynomials. - Franz Peherstorfer: Periodic and quasiperiodic Toda lattices. - Jorge Sanchez-Ruiz: Position and momentum information entropies of the harmonic oscillator and logarithmic potential of Hermite polynomials. - Jorge Arvesu: The classical Laguerre polynomials in a relativistic quantum-statistical model. - Antonio Duran: On orthogonal matrix polynomials. - Jose Carlos Petronilho: On Some Polynomial Modifications of Measures. Applications. All speakers were kindly invited to submit written versions of their talks for the proceedings of the meeting which will be published in the near future. The Workshop was dedicated in honour of Prof. Andre Ronveaux on the occasion of his retirement from the University and his fruitful mathematical life. The organizing Committee was: Manuel Alfaro (Univ. de Zaragoza), Renato Alvarez-Nodarse (Secretary) (Univ. Carlos III), Antonio Garcia Garcia (Univ. Carlos III), Guillermo Lopez Lagomasino (Univ. Carlos III) and Francisco Marcellan (Chairman) (Univ. Carlos III) Topic #10 --------------- OP-SF NET ---------------- November 15, 1996 From: Richard Askey <askey@math.wisc.edu> Subject: Bibliography on Orthogonal Polynomials Information about the book: A bibliography on orthogonal polynomials, Bulletin of the National Research Council, Number 103 National Academy of Sciences, Washington D.C., 1940 During the depression of the 1930s, there were various projects funded by different governments. One of those in the United States was a bibliography on orthogonal polynomials. The nominal authors were listed as Shohat, Hille and Walsh, and they did much of the background work, preparing the outline format, and in Shohat's case knowing much of the early Russian literature. Much of the actual work was done by H.N. Laden as you can read in two sentences which hint at this in the introduction. The book is titled "A Bibliography on Orthogonal Polynomials", it was published by the National Research Council of the National Academy of Sciences, Washington, D.C., in 1940 as Number 103 of the Bulletin of the National Research Council. It is a 204 page book which starts with a list of 303 periodicals which are referenced. Then there is a seven page outline of information about orthogonal polynomials. This starts with special polynomials (Classical OP) and includes three in two variables as well as the usual ones of Jacobi, Laguerre and Hermite and special cases of them. Each of these is denoted by a letter which will be used later. Then the area of general orthogonal polynomials is broken down into many different types of polynomials; finite interval of real axis, two finite intervals of real axis, more than two, ... Jordan arc or closed curve in plane, etc., and then a section on types of weight functions. That is the first 1 1/3 pages. The rest of the seven pages break up properties of OP into different groups, listed by letters, Greek for such things as general properties, expansions of functions, moment problem, application to mathematical physics, etc. Under each of these heading there are further details. For example, under Moment problem there is: a. Criteria for the character, determined or indeterminate, of the problem. b. Solution, which contains two subheadings: 1. Infinitely many data, 2. Finite many data. Then the real information is given by an alphabetical list of authors of papers first, and then books and theses. Here is one listing: Adams, J.C. 1. On the expression of the product of any two Legendre's coefficients by means of a series of Legendre's coefficients. [8]27(1878)63-71. *[8] is Abstracts of the Papers Communicated to the Royal Society of London: vol. 6. The last refers to the last volume consulted.* P: alphab4-f, mu * P means Legendre polynomials, alpha b 4 refers to general properties for alpha, various representations for b and n-th derivative for 4. The f is recurrence relation. mu is evaluation of sums and definite integrals involving OP (especially products of two or more OP).* In this case the title of the paper tells what is there. In most cases this is not true, and the outline if it were more easily searched could be useful. The attempt to make it searchable in the book is at the end, where there are 7 pages under the title Abbreviated Topical Index. The first is Hermite polynomials. There are 34 lines of which the following is the first: Adamoff 2; Agronomoff 1; Aitken 1; Aitken and Oppenheim 1; Angelesco 7, and this is followed by 13,15,17; etc on the next line. I have known of this book for over 40 years and have owned a copy for more than 20. I have successfully used it for finding something to use in research once or twice, and for historical purposes a few more than that. Topic #11 --------------- OP-SF NET ---------------- November 15, 1996 From: Rene Swarttouw <rene@cs.vu.nl> Subject: Extended version of Askey-Wilson-scheme report Roelof Koekoek and Rene' Swarttouw are currently working on an extended version of their report The Askey-scheme of hypergeometric orthogonal polynomials and its q-analogue, Report 94-05, Delft University of Technology, Faculty TWI, 1994 This new version will include Rodrigues' type formulae, forward and backward shift-operators, leading coefficients and the monic recurrence relations for all the orthogonal polynomials in the Askey-Wilson-scheme. They are also working on an update of the list of references. Concerning the latter subject they urge users of the report (or the electronic version see http://www.can.nl/~demo/AWscheme/index.html) to go through the current bibliography and to see if they are missing some important references. If so, please contact Rene' Swarttouw by e-mail or send him a preprint of the missing article(s). We thank everybody for their cooperation. Address for Rene' Swarttouw: Free University of Amsterdam De Boelelaan 1081 1081 HV Amsterdam The Netherlands E-mail: rene@cs.vu.nl Topic #12 --------------- OP-SF NET ---------------- November 15, 1996 From: Marvin Rosenblum <mr1t@virginia.edu> Subject: Review of "Table of Integrals, Series, and Products, CD-ROM Version 1.0" (Editors' note: This review appeared earlier in Newsletter OP & SF, October 1996) Table of Integrals, Series, and Products, CD-ROM Version 1.0 Edited by Alan Jeffrey Academic Press, San Diego, California, USA, 1996, ISBN 0-12-294756-8 The venerable Gradshteyn and Ryzhik "Table of Integrals, Series, and Products" was originally planned by Ryzhik, who was later joined by Gradshteyn. The English translation was first published in 1965, and five editions of the volume followed in the next thirty years. In each edition there were corrections of errors and extensions of the material. Ryzhik died in World War II and Gradshteyn died during preparation for the fourth (1980) edition. The subsequent editions were and are edited by Alan Jeffrey. The fifth edition of the book has been put on CD, which can be viewed from an IBM PC (or compatible) running Microsoft Windows 3.1, or 95, or NT, on a Mac, or on certain UNIX X-windows machines. Of course, there are minimum DRAM constraints, which only the foolhardy would ignore. I ran the CD using Windows 3.1. One can scan the book much as one can read the text of the printed fifth edition. But here one wants more, much more. The major question is whether one can efficaciously search the CD so as to find integrals and/or integrands involving expressions that are of interest to the user. The manufacturer's guide asserts that the CD-ROM offers desktop access to the 20000 formulas for the integrals, sums, etc. The TeX source code for most formulae is obtained by clicking on a nearby icon. To perform the search one need study the TeX code for the expression that occupies your interest, activate the search panel, and fill in some variant of the studied TeX code. Wildcards are allowed. The sad story here is that the search engine used preempts and prohibits use of the vital TeX characters ( , ) , < , > , = It is very difficult to adapt the search program to do something other than find quotations of names of special functions. The TeX used on the CD is AMS-TeX, which is at this time not a usual dialect and thus provides a minor nuisance. I believe that the problem of designing a search mechanism to find TeX encoded mathematical expressions is interesting and challenging. I think it would be of interest to check with the experts working with the Latex3 project to see if they have suggestions on how it might be done. Topic #13 --------------- OP-SF NET ---------------- November 15, 1996 From: K. Srinivasa Rao <rao@imsc.ernet.in> Subject: book announcement on Quantum Theory of Angular Momentum The following book may be of interest to some of you: "Quantum Theory of Angular Momentum: Selected Topics" by K. Srinivasa Rao and V. Rajeswari, published by Springer-Verlag and Narosa Publishing House (1993). The topics selected for study in this 315-page research monograph are: - Connection between the angular momentum coupling (3-j) and recoupling (6-j and 9-j) coefficients and generalized hypergeometric functions of unit argument. - Transformation theory of generalized hypergeometric functions and the relation of the different 3-j coefficient forms (due to Van der Waerden, Wigner, Racah, Majumdar, Raynal). - Relation between the 3-j coefficient and the Hahn polynomial, the 6-j coefficient and the Racah polynomial and their consequences for recurrence relations. - Polynomial (or non-trivial) zeros of angular momentum coefficients: - closed form, formal binomial expansions for the 3-j, 6-j and 9-j coefficients. - Degree 1 zeros and multiplicative Diophantine equations. - Polynomial zeros of higher degrees. - Polynomial zeros and exceptional Lie algebras. - Numerical algorithms for the generation of polynomial zeros. - q-3-j and q-6-j coefficients and their relation to sets of basic hypergeometric series. - Numerical computation of angular momentum coefficient : - The 3-j coefficient, using the set of six 3F2(1)'s. - The 6-j coefficient, using two sets of three and four 4F3(1)'s. - The 9-j coefficient, using the triple sum series. - Parallel computation of the 9-j coefficient, using the hierarchic formulae. Fortran programs for the computation of the 3-j, 6-j and 9-j coefficients are included for use by atomic, molecular and nuclear Physicists / Chemists. This research monograph builds on the standard text book material contained in, for example: A.R. Edmonds (1957), Angular Momentum in Quantum Physics, Princeton Univ. Press. and it leads the reader to the recent developments in the selected topics. The contents of this book supplement the results in L.C. Biedenharn and J.D. Louck, "Angular Momentum in Quantum Physics" and "Racah-Wigner Algebra in Quantum Physics", Encyclopaedia of Mathematics and its Applications, Vols. 8 and 9. and the compilation of all the known formulae in this field contained in the book : D.A. Varshalovich, A.N. Moskalev and V.K. Khersonskii, Quantum Theory of Angular Momentum, World Scientific (1988) (English edition of the original Russian publication Nauka, Leningrad, 1975). Topic #14 --------------- OP-SF NET ---------------- November 15, 1996 From: Tom Koornwinder <thk@wins.uva.nl> Subject: Announcement of edited book on Symmetries and Integrability of Difference Equations Symmetries and Integrability of Difference Equations Edited by: Decio Levi, Luc Vinet and Pavel Winternitz CRM Proceedings & Lecture Notes Vol.9 American Mathematical Society, 1996 ISBN: 0-8218-0601-7 This book is devoted to symmetries and integrability of difference equations and q-difference equations and the theory of special functions that occur as solutions of such equations. Techniques that have been traditionally applied to solve linear and nonlinear differential equations are now being adapted and applied to discrete equations. This volume is based on contributions during the workshop on Symmetries and Integrability of Difference Equations held in Esterel, Quebec, in May 1994. The book treats these specific topics: - Lie group and quantum group symmetries of difference and q-difference equations - integrable and nonintegrable discretizations of continuous integrable systems - integrability of difference equations - discrete Painleve property and singularity confinement - integrable mappings - applications in statistical mechanics and field theories - Yang-Baxter equations - q-special functions and discrete polynomials - q-difference integrable systems Contents * M. J. Ablowitz, B. M. Herbst, and C. Schober -- On the numerics of integrable discretizations * R. Askey -- A brief introduction to the world of q * N. M. Atakishiyev -- A Ramanujan-type measure for the Al-Salam and Ismail biorthogonal rational functions * H. M. Babujian and R. Flume -- Knizhnik-Zamolodchikov equations and the algebraic Bethe ansatz * H. W. Capel and F. W. Nijhoff -- Integrable quantum mappings * I. Cherdantsev and R. Yamilov -- Local master symmetries of differential-difference equations * P. A. Clarkson and A. P. Bassom -- Backlund transformations and hierarchies of exact solutions for the fourth Painleve equation and their application to discrete equations * J. F. van Diejen -- On the diagonalization of difference Calogero-Sutherland systems * A. Doliwa and P. M. Santini -- The integrable dynamics of a discrete curve * V. Dorodnitsyn -- Continuous symmetries of finite-difference evolution equations and grids * R. Floreanini and L. Vinet -- Basic Bessel functions and q-difference equations * D. V. Fursaev and V. G. Kadyshevsky -- Difference equations and gauge symmetry * H. Frahm, A. R. Its, and V. E. Korepin -- An operator-valued Riemann-Hilbert problem associated with the XXX model * F. A. Grunbaum and L. Haine -- Orthogonal polynomials satisfying differential equations: The role of the Darboux transformation * J. Harnad -- Quantum isomonodromic deformations and the Knizhnik-Zamolodchikov equations * N. Joshi and P. J. Vassiliou -- Lie symmetries and linearizations of analytic discrete dynamical systems * E. G. Kalnins and W. Miller, Jr. -- q-Algebra representations of the Euclidean, pseudo-Euclidean and oscillator algebras, and their tensor products * V. B. Kuznetsov -- 3F2(1) hypergeometric function and quadratic R-matrix algebra * D. Levi and P. Winternitz -- Lie point symmetries of differential difference equations * R. M. Mir-Kasimov -- The factorization method for the differential-difference relativistic Schrodinger equation and q-deformations * A. Mironov -- Quantum deformations of tau-functions, bilinear identities and representation theory * J. Negro -- The factorization method and hierarchies of q-oscillator Hamiltonians * F. W. Nijhoff and G. D. Pang -- Discrete-time Calogero-Moser model and lattice KP equations * Y. Ohta, K. Kajiwara, and J. Satsuma -- Bilinear structure and exact solutions of the discrete Painleve I equation * V. Papageorgiou, B. Grammaticos, and A. Ramani -- Integrable difference equations and numerical analysis algorithms * M. Rahman -- An integral representation of the very-well-poised 8psi8 series * M. Rahman and S. K. Suslov -- Singular analogue of the Fourier transformation for the Askey-Wilson polynomials * A. Ramani, B. Grammaticos, and V. Papageorgiou -- Singularity confinement * A. Ronveaux, S. Belmehdi, E. Godoy, and A. Zarzo -- Recurrence relation approach for connection coefficients. Applications to classical discrete orthogonal polynomials * R. Sahadevan, G. B. Byrnes, and G. R. W. Quispel -- Linearisation of difference equations using factorisable Lie symmetries * A. B. Shabat -- First integrals of the infinite Toda lattice * E. Sorace -- Non semisimple quantum groups and "Exponential Mappings" * V. Spiridonov, L. Vinet, and A. Zhedanov -- Discrete Schrodinger equation, Darboux transformations, and orthogonal polynomials * L. A. Takhtajan -- Integrable cellular automata and AKNS hierarchy * C. M. Viallet -- On some rational Coxeter groups Topic #15 --------------- OP-SF NET ---------------- November 15, 1996 From: Hans J. Haubold <haubold@ekpvs2.dnet.tuwien.ac.at> Subject: Mathai Festschrift I would like to draw your attention to the International Journal of Mathematical and Statistical Sciences, June 1995, Vol. 4, No.1, 1-130, containing A Festschrift in Celebration of Professor A.M. Mathai's Sixtieth Birthday. Contents - Foreword by S.B. Provost - Publications of A.M. Mathai - S.Cakmak, D.A.S.Fraser, P.McDunnogh, and N.Reid: Likelihood centered asymptotic model exponential and location model versions. - H.J.Haubold: An analytic solar model - Physical principles and mathematical structures. - S.Kounias: Poisson approximation and Bonferroni bounds for the probability of the union events. - I.B.MacNeill, Y.Mao, L.Xie, and S.M.Tang: Segmented models for age-period-cohort cancer data. - A.M.Mathai and P.G.Moschopoulos: The distribution of the standard F-ratio in one-way ANOVA with multinomially distributed cell sizes. - G.Pederzoli: Integral and series representations of a G- function through statistical techniques. - S.B.Provost and E.M.Rudiuk: Moments and densities of test statistics for covariance structures. - W.Y.Tan and M.L.Tiku: On a sampling distribution of the F- ratio in random effect models. - D.S.Tracy and N.S.Mangat: Respondent's privacy hazards in Moors' randomized response model - A remedial strategy. Topic #16 --------------- OP-SF NET ---------------- November 15, 1996 From: Hans J. Haubold <haubold@ekpvs2.dnet.tuwien.ac.at> Subject: Announcement of book on Zonal Polynomials The following book was published recently and is being recommended to the members of the activity group: A.M.Mathai, S.B.Provost, and T.Hayakawa: Bilinear Forms and Zonal Polynomials, Lecture Notes in Statistics Vol. 102, Springer-Verlag, Berlin and New York 1995, 376pp. The book covers bilinear forms in real random vectors and their generalizations as well as zonal polynomials and their applications with respect to generalized quadratic and bilinear forms. The book begins with the basic principles of the two fields and develops their mathematics and statistics up to recent research results from the point of view of theory. Detailed proofs may satisfy the mathematician while detailed examples may inspire the physicist, particularly those working in the field of quantum theory. Applications of the results are emphasized in extensive numbers of exercises and references. The book is a rich source of material not yet brought to the attention of physicists. Topic #17 --------------- OP-SF NET ---------------- November 15, 1996 From: Wolfram Koepf <koepf@zib.de> Subject: Announcement of Edited book on Mathematical Analysis, Wavelets and Signal Processing Mathematical Analysis, Wavelets and Signal Processing Edited by Mourad E.H. Ismail, M. Zuhair Nashed, Ahmed I. Zayed, and Ahmed F. Ghaleb Contemporary Mathematics 190, AMS, January 1996, 354 pp., paperback, ISBN 0-8218-0384-0 Contributors include both mathematicians and engineers presenting their ideas on new research trends. This book emphasizes the need for interaction between mathematics and electrical engineering in order to solve signal processing problems using traditional areas of mathematical analysis such as sampling theory, approximation theory, and orthogonal polynomials. Topic #18 --------------- OP-SF NET ---------------- November 15, 1996 From: Wolfram Koepf <koepf@zib.de> Subject: Announcement of book on Polynomials and Polynomial Inequalities Polynomials and Polynomial Inequalities By P. Borwein and T. Erdelyi Graduate Texts in Mathematics 161, Springer, Berlin, 1995, 480 pp., hardcover DM 98, ISBN 0-387-94509-1 Polynomials pervade mathematics, virtually every branch of mathematics from algebraic number theory and algebraic geometry to applied analysis and computer science, has a corpus of theory arising from polynomials. The material explored in this book primarily concerns polynomials as they arise in analysis, focusing on polynomials and rational functions of a single variable. The book is self-contained and assumes at most a senior-undergraduate familiarity with real and complex analysis. After an introduction to the geometry of polynomials and a discussion of refinements of the Fundamental Theorem of Algebra, the book turns to a consideration of various special polynomials. Chebyshev and Descartes systems are then introduced, and Muntz systems and rational systems are examined in detail. Subsequent chapters discuss denseness questions and the inequalities satisfied by polynomials and rational functions. Appendices on algorithms and computational concerns, on the interpolation theorem, and on orthogonality and irrationality conclude the book. Contents: Introduction and Basic Properties - Some Special Polynomials - Chebyshev and Descartes Systems - Denseness Questions - Basic Inequalities - Inequalities in Muntz Spaces - Inequalities in Rational Function Spaces Appendices: Algorithms and Computational Concerns - Orthogonality and Irrationality - An Interpolation Theorem - Inequalities for Generalized Polynomials - Inequalities for Polynomials with Constraints. Topic #19 --------------- OP-SF NET ---------------- November 15, 1996 From: Richard Askey <askey@math.wisc.edu> Subject: The Collected Works of Lars Onsager "The Collected Works of Lars Onsager", editors P.C. Hemmer, H. Holden and S. Kjelstrup Ratkje, World Scientific, Singapore, New Jersey, London and Hong Kong, 1996. Onsager's unpublished Ph.D. thesis is printed here. The title is "Solutions of the Mathieu equation of period 4 pi and certain related functions". The biographical memoir on Onsager by C. Longuet-Higgins and M. Fisher is fascinating. Before he started, at 17, to study chemical engineering at Norges Tekniske Hoiskole in Trondheim, Onsager had bought a copy of Whittaker and Watson's "Modern Analysis" and worked through most of the problems. It remained a favorite of his, and the elliptic functions he learn there were used in his solution of the two dimensional Ising model. Further information on Onsager and many very interesting stories were also given in J. Statistical Physics, vol 78 (1995), no. 1-2. Topic #20 --------------- OP-SF NET ---------------- November 15, 1996 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, or at the WWW address ftp://unvie6.un.or.at/siam . See the file 00contents.ftpsite in the submissions directory for the contents (titles, authors, filenames) of the directories opsf and abstracts. This list of contents is in chronological order of submission. The most recent contributions will just reside as files in the submissions directory, and are not yet documented in the list of contents. 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 July 15, the following papers have been submitted to the archive: H.J. Haubold and A.M. Mathai, On thermonuclear reaction rates. (see siam/opsf/haubold-mathai6.tex) J.F. van Diejen, Confluent hypergeometric orthogonal polynomials related to the rational quantum Calogero system with harmonic confinement. (see siam/opsf/diejen3.tex) N.M. Temme, Asymptotics and numerics of polynomials that are related to Daubechies wavelets. (see siam/opsf/temme-daub.ps) K. Stempak and W. Trebels, Hankel multipliers and transplantation operators. (see siam/opsf/stempak-trebels.tex) V.B. Kuznetsov and E.K. Sklyanin, Separation of variables and integral relations for special functions. (see siam/submissions/kuznetsov-sklyanin.tex Topic #21 --------------- OP-SF NET ---------------- November 15, 1996 From: The Editors <thk@wins.uva.nl>, <muldoon@yorku.ca> Subject: Changes of Address, WWW pages. etc. Jeff Geronimo (permanently at Georgia Inst. of Technology, Atlanta, GA, USA) will stay in France at least until the end of June 1997. He is part time at Saclay, part time at Paris VI with Albert Cohen. He can be reached at: Jeff Geronimo CEA Saclay 91190-Gif-sur-Yvette Cedex France email: jeff@wasa.saclay.cea.fr Throughout the email addresses, URL's and ftp address of Erik Koelink, Tom Koornwinder and Jasper Stokman (Univ. of Amsterdam) please replace fwi by wins: Erik Koelink, email: koelink@wins.uva.nl WWW: http://turing.wins.uva.nl/~koelink/ Tom Koornwinder, email: thk@wins.uva.nl WWW: http://turing.wins.uva.nl/~thk/ Jasper Stokman, email: jasper@wins.uva.nl WWW: http://turing.wins.uva.nl/~jasper/ ftp site for Koelink, Koornwinder, Stokman: ftp.wins.uva.nl, in directory pub/mathematics/reports/Analysis The old addresses will remain valid for a while. Bruce Berndt has a home page: http://www.math.uiuc.edu/~berndt/ The Ramanujan Journal has a home page containing the contents of Vol. 1, No. 1, January 1997, an editorial and further information: http://www.math.ufl.edu/~frank/ramanujan/vol1/issue1/toc.html The contents of J. Math. Analysis and Applications and of J. Symbolic Computation can be found via the Academic Press site http://www.europe.idealibrary.com The electronic preprint archive solv-int occasionally contains papers which are relevant for the field of OP & SF. See WWW: http://xxx.lanl.gov/archive/solv-int/ Topic #22 --------------- OP-SF NET ---------------- November 15, 1996 From: OP-SF Net editor <thk@wins.uva.nl> Subject: Part 33 of 1991 Mathematics Subject Classification Classification: 33-XX Special functions, {33-XX deals with the properties of functions as functions. For orthogonal functions, See also 42Cxx; for aspects of combinatorics, See 05Axx; for number-theoretic aspects, See 11-XX; for representation theory, See 22Exx} 33-00 General reference works (handbooks, dictionaries, bibliographies, etc.) 33-01 Instructional exposition (textbooks, tutorial papers, etc.) 33-02 Research exposition (monographs, survey articles) 33-03 Historical (must be assigned at least one classification number from Section 01) 33-04 Explicit machine computation and programs (not the theory of computation or programming) 33-06 Proceedings, conferences, collections, etc. 33Bxx Elementary classical functions 33B10 Exponential and trigonometric functions 33B15 Gamma, beta and polygamma functions 33B20 Incomplete beta and gamma functions (error functions, probability integral, Fresnel integrals) 33B99 None of the above but in this section 33Cxx Hypergeometric functions 33C05 Classical hypergeometric functions, $_2F_1$ 33C10 Bessel and Airy functions, cylinder functions, $_0F_1$ 33C15 Confluent hypergeometric functions, Whittaker functions, $_1F_1$ 33C20 Generalized hypergeometric series, $_pF_q$ 33C45 Orthogonal polynomials and functions (Chebyshev, Legendre, Gegenbauer, Jacobi, Laguerre, Hermite, Hahn, etc.) 33C50 Orthogonal polynomials and functions in several variables 33C55 Spherical functions, spherical harmonics, ultraspherical polynomials 33C60 Hypergeometric integrals and functions defined by them ($E$, $G$ and ${H}$ functions) 33C65 Appell, Horn and Lauricella functions 33C70 Other hypergeometric functions and integrals in several variables 33C75 Elliptic integrals as hypergeometric functions 33C80 Connections with groups, algebras, root systems and related topics 33C90 Applications 33C99 None of the above but in this section 33Dxx Basic hypergeometric functions 33D05 $q$-gamma functions, $q$-beta functions and integrals 33D10 Basic theta functions 33D15 Basic hypergeometric functions in one variable 33D20 Generalized basic hypergeometric series 33D45 Basic orthogonal polynomials and functions in one and several variables 33D55 Basic spherical functions, spherical harmonics (continuous and discrete) 33D60 Basic hypergeometric integrals and functions defined by them 33D65 Bibasic functions and multiple bases 33D70 Other basic hypergeometric functions and integrals in several variables 33D80 Connections with groups, algebras, and related topics 33D90 Applications 33D99 None of the above but in this section 33Exx Other special functions 33E05 Elliptic functions and integrals 33E10 Lame, Mathieu, and spheroidal wave functions 33E15 Other wave functions 33E20 Other functions defined by series and integrals 33E30 Other functions coming from differential, difference and integral equations 33E99 None of the above but in this section Topic #23 --------------- OP-SF NET ---------------- November 15, 1996 From: Jan Felipe van Diejen Subject: Montreal Workshop on Calogero-Moser-Sutherland systems (late submission to this issue) During the period March 10-15, 1997, the CRM organizes a WORKSHOP ON CALOGERO-MOSER-SUTHERLAND SYSTEMS in Montr\'eal. Keynote Speakers: F. Calogero (Universit\`a di Roma) J.K. Moser* (E.T.H.) B. Sutherland (University of Utah) Invited Speakers: B.L. Altshuler (NEC Research Institute) T. Baker (Melbourne University) D. Bernard (Saclay) R.K. Bhaduri (McMaster University) H.W. Braden (University of Edinburgh) P. Di Francesco (University of North Carolina at Chapel Hill) T. Eguchi (University of Tokyo) B. Enriquez (Ecole Polytechnique de Palaiseau) F.D.M. Haldane (Princeton) V.I. Inozemtsev (Joint Institute for Nuclear Research) I. Krichever* (Columbia University) P. Mathieu (Universit\'e Laval) N. Nekrasov (Harvard) M.A. Olshanetsky (Inst. of Theoretical and Exp. Physics) V. Pasquier (Princeton) A.P. Polychronakos (University of Ioannina) V. Rubtsov* (Inst. of Theoretical & Exp. Physics) S.N.M. Ruijsenaars (CWI) H. Saleur (University of Southern California) D. Senechal* (Universit\'e de Sherbrooke) T. Shiota (Kyoto University) E.K. Sklyanin (University of Tokyo) A. Varchenko (University of North Carolina at Chapel Hill) A. Veselov (Loughborough University) M. Wadati (University of Tokyo) G. Wilson (Imperial College) * to be confirmed Organizers: Jan Felipe van Diejen & Luc Vinet Information and Registration: Louis Pelletier Centre de Recherches Math\'ematiques Universit\'e de Montr\'eal C.P. 6128, succ. Centre-ville Montr\'eal (Qu\'ebec) H3C 3J7 Canada or electronically: E-mail: ACTIVITES@CRM.UMontreal.CA WWW : http://www.CRM.UMontreal.CA Topic #24 --------------- OP-SF NET ---------------- November 15, 1996 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 4.1 should reach the email address poly@siam.org before January 1, 1997. The Activity Group also sponsors a Newsletter edited by Wolfram Koepf. Deadline for submissions to be included in February 1997 issue is January 15, 1997. Please send your Newsletter contributions directly to the Editor: Wolfram Koepf Konrad-Zuse-Zentrum Takustr. 7 D-14195 Berlin, Germany tel.: +49-30-841 85-348 fax: +49-30-841 85-269 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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