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o - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - o - - - May 16, 1996 - - O P - S F N E T Volume 3, Number 3 - - ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ - - Editors: - - Tom H. Koornwinder thk@fwi.uva.nl - - Martin Muldoon muldoon@mathstat.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 Modern Topics in Orthogonal System 2. Errata and additions to earlier issues of OP-SF Net 3. International Memorial Conference D.S. Mitrinovic 4. Symmetries and Integrability of Difference Equations, Canterbury 5. MSRI program on Combinatorics 6. Workshop on Special Functions & Differential Equations, Madras 7. Waleed Al-Salam 1926-1996 8. Contents of Delft Proceedings 9. Foata Festschrift 10. New book on integral transforms 11. Askey-Wilson computer algebra mini-project 12. Revising the 1991 Mathematics Subject Classification 13. WWW and ftp addresses 14. Changes of address 15. ftp site for papers in Orthogonal Polynomials and Special Functions 16. Obtaining back issues of OP-SF Net and submitting contributions to OP-SF Net and Newsletter Calendar of events: see issue/topic: 1996 May 13-26: CRM Workshop on the Theory of Special Functions 3.1 #8 May 22-24: Special Functions session at International Joint Mathematics Meeting (Antwerp) 3.2 #6 June 20-22: International Memorial Conference D.S. Mitrinovic 3.3 #4 June 23-27: Joint summer research conference on Random Matrices, Statistical Mechanics, and Painleve Transcendents 2.6 #8 (South Hadley, Mass., USA) June 24-26: International Workshop on Orthogonal Polynomials in Mathematical Physics (Madrid) 3.2 #7 July 1-5: Meeting in Canterbury on Symmetries and Integrability of Difference Equations 2.4 #6 and 3.3 #4 July 1-7: XVth Workshop on Geometric Methods in Physics, Poland 3.1 #10 July 15-20: International Colloquium on Group Theoretical Methods in Physics, Goslar, Germany 3.1 #11 July 21-26: ICCAM 96, Leuven, Belgium 3.1 #12 July 22-26: SIAM Annual Meeting in Kansas City 3.2 #3 July 23 and 26: Minisymposium on Modern Topics in Orthogonal Systems at SIAM Annual Meeting in Kansas City 3.3 #1 August 23-30: Workshop Transform Methods & Special Functions 2.6 #10 (Varna, Bulgaria) September 1 - October 25: MSRI program on Enumeration and partially ordered sets 3.3 #5 September 23-28: III International Conference on Functional Analysis and Approximation Theory (Italy) 3.1 #13 1997 January 13-24: Workshop on Special Functions & Differential Equations, Madras 3.3 #6 March 17 - May 30: MSRI program on Symmetric functions and representation theory 3.3 #5 June 24-28: Continued Fractions and Geometric Function Theory 3.2 #8 (Trondheim, Norway) Topic #1 ----------------- OP-SF NET ------------------ May 16, 1996 From: Willard Miller, Jr. <miller@ima.umn.edu> Subject: Minisymposium on Modern Topics in Orthogonal Systems Minisymposium on Modern Topics in Orthogonal Systems SIAG/OS is sponsoring this minisymposium at the 1996 SIAM Annual Meeting which will be held July 22-26, 1996 at the Hyatt Regency Crown Center, Kansas City, Missouri. The minisymposium will be devoted to two modern extensions of the classical theory of orthogonal systems of special functions in one real variable. The first topic is Wavelets, organized by Gilbert G. Walter. Talks by Walter, P. R. Massopust, and T. Q. Nguyen will be given at the first meeting of the minisymposium, 8:30-10:30 on Tuesday morning, July 23, and there will be a talk by A. Ron at the second meeting, 8:30-10:30, Friday, July 26. The second topic, also treated at the Friday session, is Multivariate Orthogonal Polynomials That Generalize Jacobi Polynomials with Robert Gustafson as the speaker. Both topics are of importance in the approximation of functions and representation of data. Wavelets, in particular, have applications in signal processing, medicine and biology. The titles and abstracts follow. Improving wavelet approximations Gilbert G. Walter University of Wisconsin-Milwaukee Abstract: Discrete wavelets are orthogonal systems on the real line (or in n-space) which generally have superior convergence properties compared to classical systems. However, they share a shortcoming - Gibbs' phenomenon - which causes errors at the edge of a truncated signal or image. It was shown by Shim and Volkmer that this always happens for orthogonal approximations for all continuous wavelets with sufficient decay. It also occurs for some interpolating approximations. Ways of avoiding this for both types of approximations will be presented. Multiwavelets, Multiresolution Schemes, and Hyperbolic Conservation Laws Peter R. Massopust Sam Houston State University, Huntsville, TX Abstract: Multiresolution schemes based on multiwavelets are presented. These schemes employ a combination of interpolation and direct evaluation and are a generalization of earlier work by A. Harten. It is shown how such multiresolution schemes can be used to obtain accurate and computationally efficient numerical weak solutions of partial differential equations arising in computational fluid dynamics. The emphasis is on one-dimensional problems but extensions to higher dimensions will be indicated. Numerical experiments are given. Image Coding Using Shift-Invariant Dyadic Wavelet Transform Y.Hui, University of Wisconsin - Madison C.W.Kok, University of Wisconsin - Madison T.Q.Nguyen, University of Wisconsin - Madison Abstract: A new class of wavelet filters, shift-invariant wavelet filters, is proposed for the purpose of image compression. The existing approaches obtain the shift-invariant wavelet transform by finding the path in the decomposition tree that minimizes shift-variance with respect to the given cost function. This procedure is signal dependent and is inefficient for image compression, since the subband decomposition has to be performed for all shifts of input signal during processing time. The proposed shift-invariant wavelet transform has better shift-invariant property compared with the conventional dyadic wavelet transform without changing the structure of it. Two bit allocation schemes, which are suitable for the proposed shift-invariant wavelet transform coding, are proposed and evaluated. Experimental results show that the shift-invariant wavelet transform has better energy compaction property in image coding compared to the conventional wavelet transform. Multivariate symmetric orthogonal polynomials generalizing Jacobi polynomials and interpolation on symmetric lattices in $R^n$ Robert A. Gustafson Texas A&M University, College Station, TX Abstract: We discuss a family of multivariate symmetric orthogonal polynomials which have expansion formulas (as multivariate hypergeometric series) and properties similar to classical Jacobi polynomials. We also discuss discrete analogs of these polynomials. In the construction of these orthogonal polynomials, we use a new family of inhomogeneous symmetric polynomials, generalizing the classical symmetric functions (Schur functions). These new symmetric polynomials can be used in interpolation problems for symmetric functions on multidimensional symmetric lattices. Wavelet frames - a new approach Amos Ron, University of Wisconsin - Madison Zuowei Shen, National University of Singapore Abstract: We unravel the structure of wavelet system with the aid of two new notions: the affine product, and a quasi-affine system. This leads to a characterization of affine frames; the induced characterization of tight affine frames is in terms of exact orthogonality relations. A general oversampling theorem trivially follow from these characterizations. Most importantly, the affine product can be factored during a multiresolution analysis construction, and this leads to a very simple sufficient condition for constructing tight frames from multiresolution. Of particular importance are the facts that the underlying scaling function does not need to satisfy any a-priori conditions, and that the freedom offered by redundancy can be fully exploited in these constructions. Topic #2 ----------------- OP-SF NET ------------------ May 16, 1996 From: OP-SF Net editor <thk@fwi.uva.nl> Subject: errata and additions to earlier issues of OP-SF Net Re: OP-SF Net 3.1, Topic #10 (XVth Workshop on Geometric Methods in Physics, Bialowieza, Poland) This meeting does not take place in 1997 but in 1996: XVth Workshop on Geometric Methods in Physics Quantizations, deformations and coherent states Bialowieza, Poland, July 1-7, 1996 Re: OP-SF Net 3.2, Topic #6 (Special Functions session at International Joint Mathematics Meeting, Antwerp, Belgium) The title of H. Bavinck's lecture has changed to "A new result for Laguerre, Charlier, and Meixner polynomials" Topic #3 ----------------- OP-SF NET ------------------ May 16, 1996 From: Gradimir V. Milovanovic <milovanovic@iprvs1.univ-pau.fr> Subject: International Memorial Conference D.S. Mitrinovic Editors' note: the following was adapted from the first and second announcements of the conference. *********************************************************** * "International Memorial Conference D.S. Mitrinovic" * * June 20-22, 1996 * * Nis, Serbia, Yugoslavia * *********************************************************** The following institutions: - Serbian Scientific Society, Belgrade, - Faculty of Electrical Engineering, Belgrade, - Faculty of Electronic Engineering, Nis, - Institute of Mathematics SANU, Belgrade, organize an International conference devoted to memory of the outstanding mathematician Professor Dragoslav S. Mitrinovic (1908-1995) and his scientific work. The Conference will be held in Nis, Serbia, Yugoslavia from June 20-22, 1996. The location is the Faculty of Electronic Engineering, Beogradska 14, 18000 The topics of the conference are: - Approximation Theory - Complex Analysis - Differential, Integral and Functional Equations - General Inequalities - Orthogonal Polynomials and Special Functions - Possible other relevant topics The deadline for submitting papers has already passed. The accepted papers will be published in three volumes dedicated to Professor Mitrinovic. The titles of volumes will be as follows: 1) RECENT PROGRESS IN INEQUALITIES; 2) ADVANCES IN MATHEMATICAL ANALYSIS; 3) TOPICS IN MATHEMATICS WITH APPLICATIONS. The approximate number of pages per volume will be 400. The appearance of the first volume is expected ahead of the conference, whereas the other two will appear later. All volumes will be comprised of survey and contribution papers. Survey papers, due to their length, content and scientific value may be considered as book chapters, and therefore, could be of great interest to the wide range of mathematicians. Also, the authors are well-known and have made significant contributions to the relevant topics. All interested mathematicians who wish to attend the conference are welcomed and could send their applications to the Organizing Committee until April 30, 1996. On behalf of the Organizing Committee Prof. Gradimir V. Milovanovic, Chair Faculty of Electronic Engineering Department of Mathematics P.O. Box 73, Beogradska 14 18000 Nis, Yugoslavia. e-mail: milovanovic@iprvs1.univ-pau.fr and/or grade@gauss.elfak.ni.ac.yu Topic #4 ----------------- OP-SF NET ------------------ May 16, 1996 From: OP-SF Net editor <thk@fwi.uva.nl> Subject: Symmetries and Integrability of Difference Equations, Canterbury The Conference on Symmetries and Integrability of Difference Equations, University of Kent, Canterbury, July 1st-5th 1996 was announced in OP-SF Net 2.4, Topic #6. A second announcement, with a preliminary list of speakers and information about registration is now available at WWW: http://stork.ukc.ac.uk/IMS/maths/SIDE96/ Topic #5 ----------------- OP-SF NET ------------------ May 16, 1996 From: OP-SF Net editor <thk@fwi.uva.nl> Subject: MSRI program on Combinatorics The MSRI, Berkeley organizes during 1996-97 a full-year program on Combinatorics. The program focuses on four main areas of approximately half a semester each. During each of these four periods there will be a one-week workshop. See WWW: http://www.msri.org/application/comb.html Two of the areas may have some relevance for readers of OP-SF Net: Enumeration and partially ordered sets: September 1 - October 25, 1996. Workshop: October 14-18. Combinatorial identities (especially computer proofs); conjectures on monotone triangles and plane partitions; enumeration and classification of tilings; combinatorial problems arising from statistical mechanics and knot theory; combinatorial properties of Kazhdan-Lusztig polynomials; q-analogues and quantum groups. The workshop is being organized by Lynne Butler, Ira Gessel, Rodica Simion (chair), and Michelle Wachs. The program of the workshop revolves around enumerative and order-theoretic aspects in the study of combinatorial structures. Included among the workshop topics are: q-series Partitions Plane partitions Alternating sign matrices Enumerative aspects of group algebras and symmetric functions Combinatorics of orthogonal polynomials Computer algebra Combinatorial, topological, and algebraic aspects of the theory of partially ordered sets For more information: WWW: http://www.msri.org/sched/CombPosets.html email: posets@msri.org Symmetric functions and representation theory: March 17 - May 30, 1997. Workshop: April 14-18 Macdonald's two-parameter symmetric functions and the corresponding two variable Kostka polynomial; immanent conjectures of Lieb, Goulden-Jackson, Stembridge, et al.; constant term identities and their connection with nilpotent Lie algebras and cyclic homology; random walks on groups and shuffling problems; internal products of symmetric functions; invariant theory. The workshop is being organized by Curtis Greene (Chair), Sergey Fomin, Phil Hanlon, and Sheila Sundaram. Scope: In recent years there have been many exciting developments in areas that link combinatorics (especially the theory of symmetric functions) with representation theory and algebraic geometry. This workshop will focus on current problems in these areas, emphasizing the interplay between algebraic and combinatorial methods. The program will include the following topics, as well as others: Schur functions and their generalizations Combinatorics and representations of finite Coxeter groups Quantum groups and Hecke algebras Centralizer algebras Homology representations For more information: WWW: http://www.msri.org/sched/CombSymfns.html email: symfns@msri.org Topic #6 ----------------- OP-SF NET ------------------ May 16, 1996 From: K. Srinivasa Rao <wssf97@imsc.ernet.in> Subject: Workshop on Special Functions & Differential Equations, Madras (shortened by OP-SF Net editor) Workshop on Special Functions & Differential Equations, Madras January 13-24, 1997 Madras, India This is a Workshop in the field of Special Functions, Differential Equations and closely related topics, to be held at the Institute of Mathematical Sciences (I.M.Sc.), Madras during Jan. 13-24, 1997. Mini-series of lectures by experts will introduce the recent trends and developments in the topics listed. The objective of the Workshop is to bring together experts and active research students, to help strengthening of research activities at the universities and research institutions in this ever green-area. Topics include: Special Functions Differential Equations Orthogonal Polynomials (One/Several Variables) Group Theory and Special Functions Difference Equations q-Special Functions Quantum Groups and Special Functions Numerical Methods Algebraic/Symbolic Computer Packages Plenary speakers include (* means: to be confirmed): R.P. Agarwal (India) B C. Berndt (U.S.A) * F. Calogero (Italy) H.D. Doebner (Germany)* R.F. Gustafson (U.S.A.)* E. Kalnins (New Zealand) T.H. Koornwinder (Netherlands) M. Lakshmanan (India) H.L. Manocha (India) S.C. Milne (U.S.A.) * M. Lohe (Australia) T.D. Palev (Bulgaria) C. Quesne (Belgium) A. Ronveaux (Belgium) T.S. Santhanam (U.S.A.) W. Van Assche (Belgium)* G. Vanden Berghe (Belgium) J. Van der Jeugt (Belgium) A. Verma (India) L. Vinet (Canada) M. Waldschmidt (France) P. Winternitz (Canada) There is an international Advisory Committee and a local Organizing Committee. Participation Participants should be active research scientists, students, in the field of Special Functions, Differential Equations and related topics. Interested candidates should send by e-mail (or on plain paper) details giving their name, address, age, qualifications, present position and a resume of research work done. (Maximum number of participants: about 60) Financial Financial support for train travel, board and lodging will be provided to some of the participants. Registration Fee: US$ 100 (Rs.200 for Indian participants) Last date for receiving application: October 14, 1996 Further information: WWW: http://www.imsc.ernet.in/~wssf97/ or by sending a message to: Prof. K. Srinivasa Rao Convener, Workshop on Special Functions & Differential Equations The Institute of Mathematical Sciences (I.M.Sc.) CIT Campus, Tharamani Madras 600113, India email: wssf97@imsc.ernet.in fax: +91-44-235 0586 Topic #7 ----------------- OP-SF NET ------------------ May 16, 1996 From: Martin Muldoon <muldoon@mathstat.yorku.ca> Subject: Waleed Al-Salam 1926-1996 Friends and colleagues are saddened by news of the passing, a few months short of his 70th birthday, of Waleed Al-Salam, Professor Emeritus of Mathematics at the University of Alberta. Born on July 15, 1926 in Baghdad, Iraq, he died on April 14, 1996 in Edmonton, Alberta, Canada. Waleed studied at the University of California, Berkeley, earning a Bachelor's degree in Engineering Physics in 1950 and a M.A. in Mathematics in 1951. He returned to Baghdad as an Instructor at the College of Science for a few years, before enrolling for the Ph.D. at Duke University. He completed the degree in 1958 with a thesis "On the Bessel Polynomials" written under the supervision of Leonard Carlitz. By this time he was already a regular contributor to the periodical literature with some 20 published articles on a variety of topics in orthogonal polynomials and special functions. After completing his Ph.D., Waleed returned to the College of Science in Baghdad as Associate Professor. Coming back to North America in 1962, he eventually (1966) took a position at the University of Alberta, where he was Professor of Mathematics from 1967 until his retirement in 1992. Waleed continued to contribute to several areas related to orthogonal polynomials; his CV lists over 80 articles. Areas covered by his work include characterization theorems (see his survey article in pp. 1-24 of P. Nevai, ed., Orthogonal Polynomials: Theory and Practice, Kluwer, 1990), Turan expressions, generating functions, summation formulas, q-analogs, and fractional operators. He and his collaborators did much work on various special and generalized systems of orthogonal polynomials. The Al-Salam-Carlitz polynomials (1965) are still frequently cited; see, e.g., the papers of R. Askey and S. K. Suslov in Lett. Math. Phys. 29 (1993), 123-132 and J. Phys. A 20 (1993), L693-L698. The Al-Salam-Chihara polynomials (1976) play an important role in the Askey-Wilson scheme of basic hypergeometric orthogonal polynomials. Waleed supervised the Ph.D work of Bill Allaway (1972) and Mourad Ismail (1974), and conducted joint work with a variety of people at Alberta and elsewhere. In later years, these included Ted Chihara, A. Verma, Mourad Ismail and Waleed's wife, Nadhla Al-Salam, also on the faculty at Alberta, and a member of this Activity Group. On his retirement in 1992, Waleed decided to put his expertise and energy at the disposal of the orthogonal polynomials community by starting and maintaining an ftp site for papers in the area. This effort prospered and he continued to oversee it until last year when his failing health made it necessary to pass the task to Hans Haubold at the UN Office in Vienna. Waleed had been diagnosed with leukemia in 1993 and this was to reduce his active participation in conferences in subsequent years. Nevertheless, with Nadhla's constant support, he still managed to travel and old and new friends were able to benefit from his knowledge and enjoy his optimistic and humorous personality. Topic #8 ----------------- OP-SF NET ------------------ May 16, 1996 From: Martin Muldoon <muldoon@mathstat.yorku.ca> Subject: Contents of Delft Proceedings The Proceedings of the International Conference on "Orthogonality, Moment Problems and Continued Fractions" (dedicated to Thomas Jan Stieltjes Jr.) and held October 31--November 4, 1994 at Delft University of Technology, The Netherlands, have now appeared, in Journal of Computational and Applied Mathematics, Volume 65, December 1995. We thank the volume editor, Marcel G. de Bruin, for supplying us with a LaTeX version of the table of contents, from which the text below has been prepared. CONTENTS M. G. de Bruin, Preface, p.1 R. \'Alvarez-Nodarse, A.G. Garc\'ia, and F. Marcell\'an, On the properties for modifications of classical orthogonal polynomials of discrete variables, p.3 H. Bavinck, The zeros of a certain linear combination of Chebyshev polynomials, p.19 C. Berg, Indeterminate moment problems and the theory of entire functions, p.27 A. Bultheel, p. Gonz\'alez-Vera and R. Orive, On the convergence of general two-point Pad\'e approximants to Stieltjes functions. Part I. Algebraic aspects, p.57 W. C. Connett and A.L. Schwartz, Subsets of R which support hypergroups with polynomial characters, p.73 H. Dette, On the minimum of the Christoffel function, p. 85 K. Diethelm, Gaussian quadrature formulae of the third kind for Cauchy principal value integrals: Basic properties and error estimates, p. 97 J. Dombrowski and S. Pedersen, Orthogonal polynomials, spectral measures and absolute continuity, p. 115 K.A. Driver, Nondiagonal quadratic Hermite-Pad\'e approximation to the exponential function, p. 125 S. Ehrlich, Asymptotic behaviour of Stieltjes polynomials for ultraspherical weight functions, p. 135 D. Fasino, Spectral properties of Hankel matrices and numerical solutions of finite moment problems, p. 145 D.P. Gupta and D.R. Masson, Contiguous relations, continued fractions and orthogonality: an _8\phi_7 model, p. 157 E.K. Ifantis and P.D. Siafarikas, An alternative proof of a theorem of Stieltjes and related results, p. 165 I.H. Jung, K.H. Kwon, D.W. Lee and L.L. Littlejohn, Differential equations and Sobolev orthogonality, p. 173 V.A. Kaliaguine, The operator moment problem, vector continued fractions and an explicit form of the Favard theorem for vector orthogonal polynomials, p. 181 M. Kijima and E.A. van Doorn, Weighted sums of orthogonal polynomials with positive zeros, p. 195 A.B.J. Kuijlaars, Chebyshev quadrature for measures with a strong singularity, p. 207 S. Lewanowicz, Results on the associated classical orthogonal polynomials, p. 215 L. Lorentzen, A convergence question inspired by Stieltjes and by value sets in continued fraction theory, p. 233 A.P. Magnus, Special non uniform lattice (snul) orthogonal polynomials on discrete sets of points, p. 253 F. Marcell\'an, J.C. Petronilho, T.E. P\'erez and M.A. Pi\~nar, What is beyond coherent pairs of orthogonal polynomials?, p. 267 G. Mastroianni, Some weighted polynomial inequalities, p. 279 D.M. Matjila, Bounds for weighted Lebesgue functions for Freud weights on a larger interval, p. 293 M.E. Muldoon, Electrostatics and zeros of Bessel functions, p. 299 O. Nj\aa stad, Extremal solutions of the strong Stieltjes moment problem, p. 309 F. Peherstorfer, Stieltjes polynomials and functions of the second kind, p. 319 F. Peherstorfer and R. Steinbauer, Characterization of orthogonal polynomials with respect to a functional, p. 339 M. R\"osler, Trigonometric convolution structures on Z derived from Jacobi polynomials, p. 357 A. Sinap, Gaussian quadrature for matrix valued functions on the real line, p. 369 F.H. Szafraniec, A method of localizing the spectra of sequences of orthogonal polynomials, p. 387 N.M. Temme, Uniform asymptotic expansions of integrals: a selection of problems, p. 395 G. Valent and W. Van Assche, The impact of Stieltjes' work on orthogonal polynomials: additional material, p. 419 M. Voit, Limit theorems for random walks on the double coset spaces U(n)/U(n-1) for n \to \infty, p. 449 List of talks presented at the conference, p. 461 List of registered participants, p. 464 Author Index, p. 469 Topic #9 ----------------- OP-SF NET ------------------ May 16, 1996 From: Tom H. Koornwinder <thk@fwi.uva.nl> Subject: Foata Festschrift A special issue of The Electronic Journal of Combinatorics appeared which is dedicated to Dominique Foata on the occasion of his 60th birthday. It is Volume 3 (2) (1996), WWW: http://ejc.math.gatech.edu:8080/Journal/Volume_3/festschrift.html It contains 25 contributions, some of which are in the field of orthogonal polynomials or relevant for this field. I mention a few and I recommend the reader to inspect the contents for other titles: R1: Daniel Barsky and Michel Carpentier, Polynomes de Jacobi generalises et integrales de Selberg (33pp) R13: Doron Zeilberger, Proof of the alternating sign matrix conjecture (84pp) (see also the comments file) R16: Shalosh B. Ekhad and J. E. Majewicz, A short WZ-style proof of Abel's identity (1 p) R17: Dominique Dumont and Armand Ramamonjisoa, Grammaire de Ramanujan et arbres de Cayley (18pp) R19: Marko Petkov\vsek and Herbert S. Wilf, A high-tech proof of the Mills-Robbins-Rumsey determinant formula (3 pp.) R20: Alun Morris and A. A. Abdel-Aziz, Schur Q-functions and spin characters of symmetric groups I (14pp) R21: George E. Andrews, Pfaff's method (III): Comparison with the WZ method (18pp) R24: A. M. Garsia and M. Haiman, Some natural bigraded S_n-modules (60pp) (related to Macdonald polynomials) Topic #10 ----------------- OP-SF NET ------------------ May 16, 1996 From: S.B. Yakubovich <root@nti.bsu.minsk.by> Subject: New book on integral transforms The following book has appeared: S.B. Yakubovich, Index Transforms, World Scientific, Singapore. London. Hong Kong, 1996. 264 pp. "This book deals with the theory and some applications of integral transforms that involve integration with respect to an index or parameter of special functions of hypergeometric type as the kernel (index transforms). The basic index transforms are considered, such as the Kontorovich-Lebedev transform, the Mehler-Fock transform, the Olevskii transform, the Lebedev-Skalskaya transforms. The Lp theory of index transforms is discussed and new index transforms and convolution constructions are demonstrated. For the first time, the essentially multidimensional Kontorovich-Lebedev transform is announced. The book is self-contained, and includes a list of symbols with definitions, author and subject indices, and an up-to-date bibliography". Topic #11 ----------------- OP-SF NET ------------------ May 16, 1996 From: Tom Koornwinder <thk@fwi.uva.nl> Subject: Askey-Wilson computer algebra mini-project As described in OP-SF Net 3.1, Topic #16, Rene Swarttouw is working during the period January-June 1996 at RIACA, Eindhoven, The Netherlands on a project "A computer implementation of the Askey-Wilson scheme". The purpose of the project is to make a start with bringing the report R. Koekoek and R.F. Swarttouw, The Askey-scheme of hypergeometric orthogonal polynomials and its q-analogue, Report 94-05, Delft University of Technology, Faculty TWI, 1994. to the form of an interactive book, with facilities for symbolic manipulation of formulas. Further information about this project is now available from WWW: http://www.can.nl/~renes/index.html -From there you can also download a preliminary version of the electronic -book version. It is a dvi file named AW.dvi, which is equipped with -hyperlinks. This file can be read by using the program xhdvi. Consult also -the above WWW site for the way to obtain xhdvi. There is another version -available which can be read via Netscape. It uses a dvi viewer created by -Garth Dickie. Swarttouw is also working on a package for calculating formulas for orthogonal polynomials belonging to the Askey-scheme by Maple. At the mentioned WWW site there is an online facility to do some of these computations, for which you do not need to have Maple on your own computer. The present demos use Maple procedures written by Wolfram Koepf. Topic #12 ----------------- OP-SF NET ------------------ May 16, 1996 From: OP-SF Net editor <thk@fwi.uva.nl> Subject: Revising the 1991 Mathematics Subject Classification Editor's note (THK): The following was taken from Notices AMS, December 1995, p.1547, see also WWW: http://www.ams.org/committee/publications/msc-2000-let.html I suggest that you send suggestions for revision of numbers 33 (Special functions), 42Cxx (Nontrigonometric Fourier analysis) and 44 (Integral transforms, operational calculus) also to the editors of OP-SF Net, in order that a summary of suggestions for this subject can be listed, and maybe discussed here. Note from Notices AMS: Mathematics Subject Classification Scheme Revision To the Mathematical Community: The editors of Mathematical Reviews and Zentralblatt f|r 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 f|r 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 f|r Mathematik Topic #13 ----------------- OP-SF NET ------------------ May 16, 1996 From: OP-SF Net editor <thk@fwi.uva.nl> Subject: WWW and ftp addresses A more comprehensive list of ftp and WWW addresses relevant for our field is available at the home page of the Activity Group WWW: http://www.math.yorku.ca/Who/Faculty/Muldoon/siamopsf/ under "Links to WWW pages of interest to members" This list will be regularly updated, and the changes will be mentioned in OP-SF Net. Please mail corrections and additions for this list to Martin Muldoon <muldoon@mathstat.yorku.ca> Between March 5 and May 12, 1996 the following addresses in this list were changed or added: Organizations: Center of Hypergeometric Systems, Kobe, Japan: http://www.math.s.kobe-u.ac.jp/rchs/ Other information: Askey-Wilson computer algebra mini-project: WWW: http://www.can.nl/~renes/index.html Individuals: David Bressoud: WWW: http://www.math.macalstr.edu/~bressoud/ Mathijs Dijkhuizen: WWW: http://www.math.s.kobe-u.ac.jp/HOME/dijkhuizen/index.html Paul Floris: WWW: http://www.math.s.kobe-u.ac.jp/HOME/floris/index.html Erik Koelink: WWW: http://turing.fwi.uva.nl/~koelink/ Tom Koornwinder: WWW: http://turing.fwi.uva.nl/~thk/ Katsuhisa Mimachi WWW: http://www.math.s.kobe-u.ac.jp/HOME/mimachi/index.html Masatoshi Noumi WWW: http://www.math.s.kobe-u.ac.jp/HOME/noumi/index.html Toshio Oshima WWW: http://akagi.ms.u-tokyo.ac.jp/~oshima/ Nico Temme: WWW: http://www.cwi.nl/~nicot/ Walter Van Assche: http://www.wis.kuleuven.ac.be/wis/walter.html Topic #14 ----------------- OP-SF NET ------------------ May 16, 1996 From: OP-SF Net editor <thk@fwi.uva.nl> Subject: Changes of address Jan Felipe van Diejen has moved in April 1996 from Tokyo to Montreal: Centre de Recherches Mathematiques Universite de Montreal C.P. 6128, Succursale Centre-ville Montreal (Quebec) H3C 3J7 Canada Phone : +1-514-343-6111 ext. 4068 Fax : +1-514-343-2254 E-mail: vandieje@crm.umontreal.ca Topic #15 ----------------- OP-SF NET ------------------ May 16, 1996 From: OP-SF Net editor <thk@fwi.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 info 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. Between 27 February and 10 April 1996, the following papers were submitted: W. Koepf and D. Schmersau, On the De Branges theorem. (siam/opsf/koepf/deBranges.ps, deBranges.tex) W. Koepf and D. Schmersau, Weinstein's functions and the Askey-Gasper identity. (siam/opsf/koepf/weinstein.ps, weinstein.tex) W. Koepf, The algebra of holonomic equations. (siam/opsf/koepf/holonomic.ps, holonomic.tex) N.M. Temme, Uniform asymptotics for the incomplete gamma functions starting from negative values of the parameters. (siam/opsf/temme.ps) J.F. van Diejen, Properties of some families of hypergeometric polynomials in several variables. (siam/opsf/diejen2.tex) Topic #16 ----------------- OP-SF NET ------------------ May 16, 1996 From: OP-SF Net editor <thk@fwi.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.fwi.uva.nl, in directory pub/mathematics/reports/Analysis/koornwinder/opsfnet.dir or WWW: ftp://ftp.fwi.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 3.4 should reach the email address poly@siam.org before July 1, 1996. The Activity Group also sponsors a Newsletter edited by Wolfram Koepf. Deadline for submissions to be included in the June 1996 issue is May 15, 1996. Please send your Newsletter contributions directly to the Editor: Wolfram Koepf Konrad-Zuse-Zentrum Heilbronner Str. 10, D-10711 Berlin, Germany tel.: +49-30-896 04-216 fax: +49-30-896 04-125, email: koepf@zib-berlin.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-berlin.de/~bzfkoepf/ or by anonymous ftp at ftp.zib-berlin.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.fwi.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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