o - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - o - - - July 15, 1998 - - O P - S F N E T Volume 5, Number 4 - - ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ - - 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 - - Subscribe by mailing to: poly-request@siam.org - - or to: majordomo@wins.uva.nl - - - o - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - o Today's Topics 1. Introducing this issue 2. Activity Group Elections 3. OPSFA, Patras, 1999 4. Fifth International Conference on Approximation and Optimization in the Caribbean 5. International Workshop on Special Functions: Hong Kong 6. Report on VIIth International Scientific Krawtchouk Conference 7. Celebrating Dick Askey's 65'th birthday 8. Book on Hypergeometric Summation 9. New Book on Hyperfunctions 10. Book on Fractional Order Integral Transforms of Hypergeometric Type 11. Revised version of Koekoek-Swarttouw report 12. Book on Ramanujan 13. Graduate student research position 14. Journals for sale 15. Theodore von Karman Prize 16. From opsftalk 17. Plain TeX file (from Paul Nevai) 18. MSC2000 classification scheme 19. Electronic Preprint Archives: Haubold's archive and the xxx archives 20. Classical Analysis preprints in xxx archive 21. New items in Hans Haubold's preprint archive 22. Changes of Address, WWW Pages, etc. 23. Subscribing to OP-SF NET 24. Obtaining back issues of OP-SF NET and submitting contributions to OP-SF NET and Newsletter Calendar of Events: 1998 July 13-17: SIAM Annual Meeting, Toronto, Canada 5.1 #3, 5.2 #2, 5.3 #1 July 30 - August 7: International Workshop on Self-Similar Systems Dubna, Russia 4.6 #7, 5.2 #6 August 10-12, 1998: Conference on Combinatorics and Physics, Los Alamos, New Mexico, USA 5.3 #6 August 31 - September 6, 1998: 42nd Seminaire Lotharingien de combinatoire, Maratea, Basilicata, Italy 5.3 #7 1999 March 29 - April 2: Fifth International Conference on Approximation and Optimization in the Caribbean, Guadeloupe 5.4 #4 June 21-25: Conference on Special Functions, Hong Kong 5.2#7, 5.4 #5 September 20-24: International Symposium on Orthogonal Polynomials, Special Functions and Their Applications, Patras, Greece 5.4 #3 Topic #1 ------------- OP-SF NET 5.4 ------------ July 15, 1998 ~~~~~~~~~~~~~ From: OP-SF NET editors , Subject: Introducing this issue We hope a lot of interesting and useful material is collected in this issue. In particular, note the following topics: - We congratulate Dick Askey on his 65th birthday. See Topic #7. - Most of the present elected officers of our Activity Group will not come up for elections again this fall. However, we are very pleased with the quality of the slate put together for the coming elections. See Topic #2. - The Classical Analysis (CA) subcategory of the xxx archives has reformulated its keywords such that they begin now with Orthogonal polynomials and Special functions. The xxx archive is very interested in absorbing all the papers in Hans Haubold's present op-sf site. We think that the xxx archives are a wonderful facility for efficient and early communication of new preprints. We suggest that authors in the field of OP & SF post their preprints in future to the subcategory CA of the xxx archives (with possible cross-linking to one or more other subcategories), or to another, more suitable subcategory while cross-linking to CA. See Topic #19. - The listserv opsftalk is a discussion forum in orthogonal polynomials and special functions. It started last November. Presently there are 43 subscribers. If you want to send a contribution to OP-SF NET and if you want to have this read as soon as possible, you may send it as well to opsftalk@wins.uva.nl. Then it will also be considered for inclusion in OP-SF NET. See Topic #16. Tom Koornwinder and Martin Muldoon Topic #2 ------------- OP-SF NET 5.4 ------------ July 15, 1998 ~~~~~~~~~~~~~ From: Tom Koornwinder Subject: Activity Group Elections I am writing on behalf of the nominating committee for selecting candidates for office for the SIAM Activity Group on Orthogonal Polynomials and Special Functions. This committee consists of George Gasper, Martin Muldoon, Charles Dunkl, Willard Miller, Nico Temme and myself. We have put together the following slate: Chair: Daniel W. Lozier National Institute of Standards and Technology Gaithersburg, MD, USA email: dlozier@nist.gov Vice-Chair: 1. Walter Van Assche Katholieke Universiteit Leuven Leuven, Belgium email: Walter.VanAssche@wis.kuleuven.ac.be 2. Rupert Lasser GSF-National Research Center for Environment and Health Institute for Biomathematics and Biometry Ingolstaedter Landstr. 1 85764 Neuherberg Germany email: martina.probst@gsf.de Secretary: 1. Charles F. Dunkl University of Virginia Charlottesville, VA, USA email: cfd5z@virginia.edu 2. M. Lawrence Glasser Clarkson University Potsdam, NY, USA email: laryg@sun.mcs.clarkson.edu Program Director: 1. Francisco Marcellan Univ. Carlos III de Madrid Leganes, Spain email: pacomarc@ing.uc3m.es 2. Peter A. McCoy US Naval Academy Annapolis, MD, USA email: pam@sma.usna.navy.mil All proposed persons have been contacted by us, and they are willing to be a candidate for the office mentioned. There will be elections for vice-chair, secretary, program director. A ballot will be mailed to all members this summer and those elected will hold office for a three-year period beginning January 1, 1999. Tom Koornwinder Topic #3 ------------- OP-SF NET 5.4 ------------ July 15, 1998 ~~~~~~~~~~~~~ From: Panos Siafarikas Subject: OPSFA, Patras, 1999 On September 20-24, 1999 the Fifth International Symposium on Orthogonal Polynomials, Special Functions and their Applications (OPSFA, in short) will be held in Patras, Greece at the Department of Mathematics, University of Patras. The OPSFA follows the European Conferences of Bar-Le-Duc (1984), France; Segovia (1986), Spain; Erice (1990), Italy; Evian (1992), France; and also Granada (1991, VII SPOA), Spain; Delft (1994, in honor of Thomas Jan Stieltjes Jr. (1856-1894)), Netherlands; and Sevilla (1997, VIII SPOA), Spain. The scientific program is currently being elaborated by the scientific committee: Walter Van Assche (Belgium) Marcel de Bruin (Holland) Evangelos Ifantis (Greece) Andrea Laforgia (Italy) Lance Littlejohn (USA) Paco Marcellan (Spain) Martin Muldoon (Canada) Panayiotis Siafarikas (Greece). It consists of some plenary lectures and short communications (20 minutes). The second circular, to be distributed next autumn will give detailed information about it. The cost of attendance is expected to be very reasonable. The following estimates are subject to change but it is anticipated that the registration fee will be around 50.000 drachmas (1$=300 drachmas approx.), which includes the admission to the Symposium, a copy of the book of abstracts, a copy of the Proceedings, reception and participation in some social events (welcome drink, a Greek evening, a visit to ancient Olympia, etc). To help us with the organisation of the Symposium, we would appreciate if you, already at this early stage, could indicate your potential attendance. If you are interested in being invited to participate or in receiving subsequent circulars, please fill out the preregistration form (available at our website or from us) and return it as soon as possible and, in any case, not later than October 31, 1998 to the Symposium Mailing Address. The Symposium will be held at the building of Department of Mathematics of the University of Patras. The Department is located at the University Campus, 7 km from downtown of the city of Patras and 3 km from Rio region, where there are many hotels which the participants could choose to stay. (More details will be given in the next circulars.) Access to Patras is easy; it lies along the National Road that connects Athens with Patras (220 km). For more information see also "how to reach Patras" at our website. Mailing Address: Fifth International Symposium on Orthogonal Polynomials, Special Functions and their Applications. Department of Mathematics (to Prof. P. D. Siafarikas) University of Patras Patras 26500 Greece Tel. - Fax: +(3) 061 997169 E-Mail: OPSFA@math.upatras.gr Web Site: http://www.math.upatras.gr/opsfa/ LOCAL ORGANISING COMMITTEE: E. K. Ifantis C. G. Kokologiannaki P. D. Siafarikas Please bring this announcement to the attention of interested people. Looking forward to seeing you in Patras. Panos D. Siafarikas (On behalf of the Organizing Committee) Topic #4 ------------- OP-SF NET 5.4 ------------ July 15, 1998 ~~~~~~~~~~~~~ From: Francisco Marcellan Subject: Fifth International Conference on Approximation and Optimization in the Caribbean Fifth International Conference on Approximation and Optimization in the Caribbean: Universite des Antilles et de la Guyane, Guadeloupe, French West Indies, March 29-April 2, 1999 First announcement Aim and Scope of the Conference This conference is the fifth of a series dedicated to research on Approximation and Optimization in the Caribbean. This series was jointly initiated by Humboldt Universitat (Berlin), RWTH (Aachen) and Universidad de la Habana (La Habana). The first two meetings were held in Havana in 1987 and 1993. Since then, these meetings have been organized every two years in a new country from the Caribbean area: Puebla (Mexico) in 1995, Caracas (Venezuela) in 1997, Pointe a Pitre (Guadeloupe) in 1999. They are supervised by an Executive Committee. The goal of these conferences is to support the development of high level education and research in the Caribbean. They propose tutorials, mini-symposia, invited lectures and contributed talks, on the following topics: 1. Approximation: Wavelets, polynomial and rational approximation, splines, orthogonal polynomials, interpolation, asymptotic analysis, radial basis functions. Quadrature formulas. 2. Optimization: Nonlinear equations and inequalities, continuous and discrete optimization, parametric, stochastic and global optimization, nonsmooth analysis, critical point theory, control theory. 3. Mathematical Economics: Fixed point theory, equilibria of competitive economies, financial markets, cooperative and non-cooperative games. 4. Applications: Engineering and energy models, robotics, pattern recognition, image restoration, applications in biology, economy and sciences. Executive Committee: M. Florenzano (Paris), J. Guddat (Berlin), M. A. Jimenez (Puebla), H. Th. Jongen (Aachen), G. Lopez Lagomasino (La Habana). Organizing Committee: S. Allende (La Habana), U. Garcia Palomares (Caracas), R. Janin (Poitiers ), M. Lassonde, A. Moudafi, O. Nakoulima, J. Narayaninsamy (Pointe a Pitre). Scientific Program: 1. Tutorials: Wavelets Methods for Numerical Simulation, by A. Cohen and Y. Meyer (France), Convex Analysis and Nonsmooth Optimization, by J. Borwein (Canada). 2. Invited talks: A. P. Araujo (Brazil), H. Attouch (France), A. Bensoussan (France), P.-L Butzer (Germany), F. Clarke (France), I. Ekeland (France), C.C. Gonzaga (Brazil), T. Ichiishi (U.S.A.), A. Ioffe (Israel), E. Saff (U.S.A.), S. Smale (Hong-Kong), H. Stahl (Germany), W. Van Assche (Belgium). General Organization: The Conference will take place in a nice building of the campus of the Antilles-Guyane University located on a hill above the Marina. A Hotel close to the campus will be proposed to the participants. Lunches will be taken on the campus. The lectures will start on Monday (29th March) and finish on Friday (2nd April). The social program of the conference will start on Sunday (28th March) by a Welcome Party. Wednesday afternoon will be devoted to an excursion. A banquet is also planned. The conference fee should be between 600 F and 900 F (between 100 US$ and 150 US$), depending on the financial situation, to be paid on arrival. The fee covers lunches, the whole social program, the book of abstracts. If your participation in the Conference is conditional on financial support, please let us know; we hope to be able to provide some partial support. In any case, the organizers will do the best to exempt from the fee at least the participants from the Caribbean area. Contributions, Submission and Program Committee: Applicants to the tutorials should send a short CV via e-mail to: appopt5@univ-ag.fr, subject: tutorial Contributors are invited to submit abstracts in TeX or LaTeX via e-mail to: appopt5@univ-ag.fr, subject: abstract Participants can also propose a mini-symposium on a specific topic with 4-5 speakers. A proposal for a mini-symposium, stating the theme, the list of speakers and the abstracts, should be sent via e-mail to: appopt5@univ-ag.fr, subject: mini-symposium The deadline for applications to the tutorials and for submissions of contributions is 30 October 98. Admission in tutorials and acceptance of abstracts or mini-symposia will be notified by 15 December 98. Research results which are obtained from joint Caribbean projects and which involve young researchers are especially welcomed. We intend to publish the proceedings of the conference in a special volume of the Caribbean Journal of Mathematics and Computing Sciences (CJMCS). Program Committee Chair: J. Guddat - Approximation: D. Hinrichsen (Germany), D. Lubinsky (South Africa), F. Marcellan (Spain), W. Roemisch (Germany), H. Wallin (Sweden) - Optimization: J.-B. Hiriart-Urruty (France), P. Kall (Switzerland), B.S. Mordukhovich (U.S.A.), J. Stoer (Germany), M. Tapia (U.S.A.) - Mathematical Economics: B. Cornet (France), C. Herrero (Spain), E. Jouini (France), H. Keiding (Denmark), V. Vasilev (Russia) To get more information please contact: M. Lassonde, Departement de Mathematiques, Universite des Antilles et de la Guyane, 97159 Pointe a Pitre, Guadeloupe, France. e-mail: appopt5@univ-ag.fr For updated information visit the Conference WWW page http://www.cepremap.cnrs.fr/conferences/appopt5.html Francisco Marcellan pacomarc@ing.uc3m.es Topic #5 ------------- OP-SF NET 5.4 ------------ July 15, 1998 ~~~~~~~~~~~~~ From: Charles Dunkl Subject: International Workshop on Special Functions: Hong Kong (from http://www.math.virginia.edu/~cfd5z/HK99/home.html) International Workshop on Special Functions Asymptotics, Harmonic Analysis, and Mathematical Physics June 21-25, 1999 City University of Hong Kong First Announcement Objective: The purpose of this conference is to provide a forum for an exchange of ideas among experts in various topics listed below. It also aims at disseminating information on recent advances made in these areas. Session Topics: Asymptotics Classical Special Functions Harmonic Analysis and Quantum Groups Mathematical Physics and Partial Differential Equations Orthogonal Polynomials Organizing Committee: Charles F. Dunkl, University of Virginia, USA Mourad Ismail, University of South Florida, USA Roderick Wong, City University of Hong Kong Plenary Speakers: K. Aomoto, Nagoya U, Japan R. Askey, U. of Wisconsin T. Baker, U of Melbourne C. Berg, U of Copenhagen C. Dunkl, U of Virginia G. Gasper, Northwestern U, W. Gautschi, Purdue and ETH (Zurich) E. Koelink, U of Amsterdam A. McBride, U of Strathclyde, Scotland F. Olver, U of Maryland R. O'Malley, U of Washington (*) E. Opdam, U of Leiden R. Simion, George Washington U D. Stanton, U of Minnesota N. Temme, CWI, Amsterdam A. Terras, U of California at San Diego (*) V. Totik, U of Szeged and U of South Florida L. Vinet, CRM, U of Montreal R. Wong, City U of Hong Kong Y. Xu, U of Oregon (*) to be confirmed Call for Papers: Titles and abstracts of contributed papers must be received by January 31, 1999. The abstracts should be preferably typed in LaTeX, not to exceed one page, and sent to the Workshop Secretary (see address below) by e-mail. Information: Colette Lam IWSF¹99 Workshop Secretary, Department of Mathematics, 83 Tat Chee Avenue, Kowloon, Hong Kong Tel: +852 2788-9816, Fax: +852 2788-8561 E-mail: malam@cityu.edu.hk Scientific Information: E-mail: hkconf99@weyl.math.virginia.edu Web Site: http://www.math.virginia.edu/~cfd5z/HK99/home.html Topic #6 ------------- OP-SF NET 5.4 ------------ July 15, 1998 ~~~~~~~~~~~~~ From: Vadim Zelenkov Subject: Report on VIIth International Scientific Krawtchouk Conference The 7th International Krawtchouk Conference took place in Kiev, Ukraine, from May 14 to May 16, 1998. Below are some titles of the reports related to orthogonal polynomials, special functions and integral transforms. M. Khomenko, M. Krawtchouk's background V. Zelenko, Recent development of M. Krawtchouk's ideas: related articles Yu. Bily, M. Krawtchouk on international mathematical forums M. Babyuk, Integral Hankel type transforms of the 1st kind and spectral parameter in a boundary condition N. Virchenko, About integral equations with generalized Bessel type functions V. Gaidei, New generalization of integral transform of the Bessel type V. Zelenkov, V. Savva, Orthogonal polynomials as a tool to solve differential equations describing multilevel systems dynamics V. Korolyuk, Stochastic Krawtchouk polynomials A. Mazurenko, V. Savva, Discrete variable polynomials: Analog of the Christoffel formula and its application to solve some differential equations Yu. Mamteev, V. Stukalina, T. Hoochraeva, Features of an algorithm for calculating the modified function by recurrence relations M. Mironenko, Pair adder equation in periodic contact problems A. Mironov, On the integral equations for the Riemann function G. Prizva, Generalization of classical orthogonal polynomials of discrete variable E. Seneta, Characterization of Markov chains by orthogonal polynomial systems S. Tsurpal, Interaction of simple single waves with a structure as Chebyshev-Hermite functions of any index in the materials with microstructure O. Manzyi, Decomposition of the ratio of Appell hypergeometric functions F_3 into the ramified chain fraction The 8th Conference is to be held in May 2000. Vadim Zelenkov Topic #7 ------------- OP-SF NET 5.4 ------------ July 15, 1998 ~~~~~~~~~~~~~ From: Tom Koornwinder Subject: Celebrating Dick Askey's 65'th birthday Dick Askey's 65'th birthday was on June 4, 1998. This was celebrated at the recent conference on "q-Series, Combinatorics and Computer Algebra" held at South Hadley, Massachusetts, USA during June 21-25, 1998. During a special afternoon session on June 22, various aspects of Dick's work were briefly discussed by George Gasper, Tom Koornwinder, Dennis Stanton, George Andrews (read by Dennis), and Mourad Ismail. During the banquet on the same day, an Askey Photo Album collected by Sergei Suslov was presented. It can be seen at: http://www.public.asu.edu/~sergei/dick/ Then a number of people stood up and shared personal reminiscences about Dick. I think all present will remember the banquet as a special, warm, and memorable occasion. A common element in the speeches was that meeting Dick changed the mathematical life of people. Many of us would not have worked in Orthogonal polynomials and Special functions without Dick, and the field would have been much less advanced. [Editors' Note: We expect to include a report on the Conference in a future issue] Topic #8 ------------- OP-SF NET 5.4 ------------ July 15, 1998 ~~~~~~~~~~~~~ From: Wolfram Koepf Subject: Book on Hypergeometric Summation Hypergeometric Summation By Wolfram Koepf Verlag Vieweg, Braunschweig/Wiesbaden, 1998, 230 pp., DM 69.00, US$ 49.00, distributed in North-America by the AMS, ISBN 3-528-06950-3 In this book "Hypergeometric Summation. An Algorithmic Approach to Summation and Special Function Identities", modern algorithmic techniques for summation, most of which have been introduced within the last decade, are developed and carefully implemented in the computer algebra system Maple. The algorithms of Gosper, Zeilberger and Petkovsek on hypergeometric summation and recurrence equations and their q-analogues are covered, and similar algorithms on differential equations are considered. An equivalent theory of hyperexponential integration due to Almkvist and Zeilberger completes the book. The combination of all results considered gives work with orthogonal polynomials and (hypergeometric type) special functions a solid algorithmic foundation. Hence, many examples from this very active field are given. The present book is designed for use in the framework of a seminar but is also suitable for an advanced lecture course in this area. Many exercises are included. The software to this book and worksheets with the sessions in the book and the solution of the exercises can be obtained from http://www.vieweg.de/welcome/downloads/supplements.htm as compressed zip files, or from my homepage http://www.imn.htwk-leipzig.de/~koepf under "Research Activities, Projects" (www.imn.htwk-leipzig.de/~koepf/research.html). Contents: - Preface - Introduction - The Gamma Function - Hypergeometric Identities q-Hypergeometric Identities - Hypergeometric Database q-Hypergeometric Database - Holonomic Recurrence Equations Multiple Summation q-Holonomic Recurrence Equations - Gosper's Algorithm Linearization of Gosper's Algorithm q-Gosper Algorithm - The Wilf-Zeilberger Method q-WZ method - Zeilberger's Algorithm q-Zeilberger Algorithm - Extensions of the Algorithms - Petkovsek's Algorithm q-Petkovsek Algorithm - Differential Equations for Sums q-Differential Equations for Sums - Hyperexponential Antiderivatives - Holonomic Equations for Integrals - Rodrigues Formulas and Generating Functions - Appendix: Installation of the Software - Bibliography - List of Symbols - Index Wolfram Koepf Topic #9 ------------- OP-SF NET 5.4 ------------ July 15, 1998 ~~~~~~~~~~~~~ From: Kenneth Ross Subject: New Book on Hyperfunctions (see http://www.birkhauser.ch/new/math/43/3943.htm) The following book appeared: K.A. Ross e.a. (eds.), International Conference on Harmonic Analysis, Birkhauser, 1998. 256 pages, ISBN 3-7643-3943-8 Table of Contents: Preface Sanjeev Agrawal & Dinesh Singh, "De Branges modules in H^2(C^k)" Leonard Gallardo, "Some methods to find moment functions on hypergroups" Marc-Olivier Gebuhrer, "About some random Fourier series and multipliers theorems on compact commutative hypergroups" Henry Helson, "Disintegration of measures" Benjamin Lotto & Donald Sarason, "Multipliers of de Branges-Rovnyak spaces, II" R. Nair, "On Hartman uniform distribution and measures on compact spaces" Kenneth A. Ross, "Hypergroups and signed hypergroups" Alan L. Schwartz, "Three lectures on hypergroups: Delhi, December 1995" Henrik Stetkaer, "Harmonic analysis and functional equations" V. S. Sunder & N. J. Wildberger, "Actions of finite hypergroups and examples" Ryszard Szwarc, "Positivity of Turan determinants for orthogonal polynomials" K. Trimeche, "Wavelets on hypergroups" Martin E. Walter, "Semigroups of positive definite functions and related topics" N. J. Wildberger, "Characters, bi-modules and representations in Lie group harmonic analysis" Topic #10 ------------- OP-SF NET 5.4 ------------ July 15, 1998 ~~~~~~~~~~~~~ From: Vadim Zelenkov Subject: Book on Fractional Order Integral Transforms of Hypergeometric Type Fractional Order Integral Transforms of Hypergeometric Type By N. Virchenko and V. Tsarenko, Kiev, 1995, 216 pages, ISBN 5-7702-1101-6, in Russian This book deals with the theory and apparatus of new integral transforms (the fractional G-transforms) with kernels which are transcendental solutions of differential equations of hypergeometric type. Following this is a development and research in the theory of integral operators, integral equations with Gauss hypergeometric function which correspond to different special cases of parameters and variables. The main titles of the sections are as follows: Chapter 1. Integral transforms of the fractional order connected to orthogonal polynomials. 1. Some information on the theory of orthogonal polynomials. 2. Integral transforms of fractional order. 3. Basic fractional operational calculus. 4. Some applications of integral fractional G-calculus. Chapter 2. Integral transforms connected to the hypergeometric function _2F_1(a,b;c;z). 1. Application of classical methods for reception of the inversion formulae. 2. Method of fractional integro-differentiation. Topic #11 ------------- OP-SF NET 5.4 ------------ July 15, 1998 ~~~~~~~~~~~~~ From: Roelof Koekoek Subject: Revised version of Koekoek-Swarttouw report Recently a completely revised and updated version of our report appeared: Roelof Koekoek and Ren'e F. Swarttouw, "The Askey-scheme of hypergeometric orthogonal polynomials and its q-analogue", Delft University of Technology, Faculty of Information Technology and Systems, Department of Technical Mathematics and Informatics, Report no. 98-17, 1998. A PostScript-file can be obtained by using ftp : ftp://ftp.twi.tudelft.nl/TWI/publications/tech-reports/1998/DUT-TWI-98-17.ps.gz More information (including a link to this ftp-address) can be found on : http://aw.twi.tudelft.nl/~koekoek/research.html Roelof Koekoek and Rene F. Swarttouw. Topic #12 ------------- OP-SF NET 5.4 ------------ July 15, 1998 ~~~~~~~~~~~~~ From: Tom Koornwinder Subject: Book on Ramanujan I received the followong book: Srinivasa Ramanujan, a Mathematical Genius By K. Srinivasa Rao EastWest Books, Madras, 1998, xii+231 pp., ISBN: 81-86852-14-X Contents: Foreword by Bruce C. Berndt Preface Acknowledgements 1. Life of Ramanujan 2. Ramanujan's Mathematics: Glimpses 3. Ramanujan's Notebooks 4. Hardy on Ramanujan 5. Chandra and Ramanujan 6. Books and Busts 7. What is where Appendix 1. Research publications of Ramanujan Appendix 2. Wren Library Card Catalogue and Papers of Ramanujan Appendix 3. File on S. Ramanujan at the National Archives and at the Tamil Nadu Archives References Notes Tom Koornwinder Topic #13 ------------- OP-SF NET 5.4 ------------ July 15, 1998 ~~~~~~~~~~~~~ From: Sergei K. Suslov Subject: Graduate student research position Position: one graduate or PhD student to work with Dr. Sergei K. Suslov. Duration: 3 years Project: Basic Fourier Series and Their Extensions Program: NSF Analysis Program Abstract: The study of Fourier series has a long and distinguished history in mathematics. Historically, Fourier series were introduced in order to solve the heat equation, and since then these series have been frequently used in various applied problems. Much of modern real analysis including Lebesgue's fundamental theory of integration had its origin in some deep convergence questions in Fourier series. There is a great deal of interest these days in basic (or q-)extensions of Fourier series and their theory. In this project we intend to lay a sound foundation for this study. We introduce basic Fourier series, investigate their main properties, and consider some applications in mathematical physics. For more info see Dr. Suslov's webpage http://www.public.asu.edu/~sergei/ Requirements: Experience in any area of classical analysis, approximation theory, or orthogonal polynomials and q-special functions is essential. Some experience in any area of computational mathematics is also necessary. The main campus of Arizona State University has approximately 43,000 students and is located in the rapidly growing metropolitan Phoenix area, which provides a wide variety of recreational and cultural opportunities. The Department of Mathematics currently has 58 full time faculty members, 27 Lecturers and over 70 supported Graduate Students. Departmental computing facilities include networked clusters of high-end workstations as well as several graphics computers and access to the University's central computing facilities. Applicants must send their resume, a letter of intent and three letters of recommendation to be sent by to: Dr. Sergei K. Suslov Department of Mathematics PO Box 871804 Arizona State University Tempe, AZ 85287-1804 Review of the applications will begin immediately and will continue until the position is filled. Sergei K. Suslov suslov@math.la.asu.edu Topic #14 ------------- OP-SF NET 5.4 ------------ July 15, 1998 ~~~~~~~~~~~~~ From: John Boersma Subject: Journals for sale For various reasons, such as my recent retirement, I want to sell my back volumes of SIAM J. Appl. Math. and SIAM J. Math. Analysis. SIAM Journal on Applied Mathematics, Vol. 15 (1967) - Vol. 57 (1997), 52 bound volumes; SIAM Journal on Mathematical Analysis, Vol. 1 (1970) - Vol. 28 (1997), 38 bound volumes. John Boersma Topic #15 ------------- OP-SF NET 5.4 ------------ July 15, 1998 ~~~~~~~~~~~~~ From: Allison Bogardo Subject: Theodore von Karman Prize SIAM will present the Theodore von Karman Prize at the 1999 SIAM Annual Meeting in Atlanta, Georgia, May 12-15. The award will be given for a notable application of mathematics to mechanics and/or the engineering sciences made during the five to ten years preceding the award. The award may be given either for a single notable achievement or for a collection of such achievements. The award consists of a hand-calligraphed certificate and a $1,000 cash prize. Expenses for the winner to attend the annual meeting to receive the award will be borne by SIAM. Further information about the award, including past winners may be found at http://www.siam.org/prizes/vonkar.htm A letter of nomination, including a description of achievement(s) should be sent by September 1, 1998, preferably by email to: von Karman Prize Selection Committee c/o Allison Bogardo SIAM 3600 University City Science Center Philadelphia, PA 19104-2688 E-mail: bogardo@siam.org Telephone: 215-382-9800 Fax: 215-386-7999 The selection committee consists of Professors Jerrold E. Marsden (Caltech, Chair), Philippe G. Ciarlet (Laboratoire d'Analyse Numerique, Paris), and Joseph B. Keller (Stanford University). Topic #16 ------------- OP-SF NET 5.4 ------------ July 15, 1998 ~~~~~~~~~~~~~ From: OP-SF Net Editor Subject: From opsftalk (a) From: Alan Horwitz Subject: Zeroes and critical points of orthogonal polynomials Editorial note: the following two postings by Alan Horwitz to sci.math.research and sci.math.num-analysis were forwarded via opsftalk by Vadim Zelenkov . 1. (June 2, 1998) I am interested in upper and lower bounds for the zeroes r_k and critical points x_k of orthogonal polynomials of degree n. I do not want numerical bounds, but bounds which are functions of k and n. In particular, I need bounds for the critical points of the Chebyshev polynomials of the second kind(the zeroes are known), and bounds for the zeroes and critical points of the Legendre polynomials. Any information would be helpful. 2. (June 10, 1998) Let p(x) be a polynomial with all real zeroes r_1 < r_2 < ... < r_n and critical points x_1 < x_2 < ... < x_(n-1). Define the ratios s_k = (x_k-r_k)/(r_(k+1)-r_k), k = 1,2,...,n-1. I have recently done some research in this area. One of the questions I was interested in was the monotonicity fo the ratios. I proved that for n = 4(n = 3 is trivial) the ratios are monotonic-i.e. s_1 < s_2 < s_3, while for n>=5, the ratios are not monotonic in general. I now want to investigate properties of the ratios of some of the classical orthogonal polynomials. In particular, I can prove that for the Chebyshev polynomials T_n:Let s_k,n denote the kth ratio of T_n. Then s_k,n < s_k+1,n(so the ratios are increasing for fixed n) and s_k,n > s_k,n+1(so the ratios are decreasing functions of n). For some of the other classical orthogonal polynomials this is not as easy to show(numerical evidence indicates it's true for the Legendre polynomials) since one does not have explicit formulas for the roots and critical points. Has anyone seen results of this type before? Is this sort of result interesting to those doing research in orthogonal polynomials? I'm looking for good upper and lower bounds on r_k and x_k(as functions of n and k) which might enable me to prove more general results. Dr.Alan Horwitz Penn State University 25 Yearsley Mill Rd. Media, PA 19063 (610)-892-1449 alh4@psu.edu Home Page: http://www.math.psu.edu/horwitz/ (b) From: Chris Farr Subject: 2-D Chebyshev Polynomial Regression Editorial note: the following posting to a newsgroup by Chris Farr was forwarded via opsftalk by Vadim Zelenkov . Has anyone created a function in Mathematica to approximate a function of two variables using 2-D Chebyshev Polynomial Regression? That is, has someone created a Mathematica algorithm which takes as its input a real valued function f(x,y) defined on [a,b] X [c,d] and returns a Chebyshev polynomial approximation p(x,y)? If so, I would be interested in obtaining it. Thanks, Chris Farr (July 7, 1998) (c) From: Paul Nevai Subject: OPs in the class M - a follow up On 2/25/98 I asked via OP-SF TALK whether it is known that if the measure is in the class M then there are finitely many masspoints greater than 1 if and only if the ratio of the consecutive ops evaluated at the point 1 converges to 1. Thomas Dehn (dehn@ipmsun5.mathematik.uni-karlsruhe.de) responded (via Tom Koornwinder) on 4/4/98 that he proved the above result in 1991, and it is contained both in his Ph.D. thesis (which is written in German) and in [D] (Theorem 4.3, p. 216 and the remark after the proof). It turns out that the proof of [D, Theorem 4.3] is partially incomplete. In what follows in the next item (see TeX file in Topic #17) is a `complete' proof of the above statement. Although perfectly processable by TeX, this is a somewhat raw text and is not meant to be perceived as a final version. N.B. that it was I who wrote this message. However, it is based on extensive correspondence with Thomas Dehn. [D] Thomas Dehn, A shortcut to asymptotics for orthogonal polynomials. Proceedings of the Fifth International Congress on Computational and Applied Mathematics (Leuven, 1992). J. Comput. Appl. Math. 50 (1994), no. 1-3, 207-219. MR 95h:41054. (d) From: OP-SF NET editor Subject: about opsftalk The listserv opsftalk is a discussion forum in orthogonal polynomials and special functions. It started last November. Presently, there are 43 subscribers. Postings are welcome. In particular, if you want to send a contribution to OP-SF NET, and if you think it is suitable for opsftalk, please post it there, and it will automatically be considered for inclusion in OP-SF NET. To subscribe, send a message to majordomo@wins.uva.nl and put in the body of the message only the words: subscribe opsftalk You can post messages by sending mail to opsftalk@wins.uva.nl Your message will then be automatically forwarded to everybody on the opsftalk list. The postings received during January 13 - March 12, 1998 were archived by Tom Koornwinder at URL http://turing.wins.uva.nl/~thk/opsftalk/archive.html. Postings received from March 14, 1998 onwards will be automatically archived at URL http://www.findmail.com/listsaver/opsftalk/ Please note that email addresses in the messages posted at findmail look incomplete, but become complete when you click on it. Topic #17 ------------- OP-SF NET 5.4 ------------ July 15, 1998 ~~~~~~~~~~~~~ From: Paul Nevai Subject: plain TeX file (long) (See part (c) in Topic #16) \input amstex \documentstyle{amsppt} \magnification=\magstep1 \hsize6.5truein\vsize8.9truein \parskip=8pt\parindent=0pt \TagsOnRight \document From: Paul Nevai (nevai\@math.ohio-state.edu) Subject: OPs in the class M - a follow up \newline \define\DEF{\overset\text{def}\to=} \define\sign{\operatorname{sign}} \define\supp{\operatorname{supp}} THE MEASURE. $\alpha$ THE NORMALIZED ORTHOGONAL POLYNOMIALS. $p_n(\alpha)$ [or $p_n$] THE MONIC ORTHOGONAL POLYNOMIALS. $P_n(\alpha)$ [or $P_n$] THE RECURSION FORMULA. $$ xp_n(x) = a_{n+1} p_{n+1}(x) + b_n p_n(x) + a_n p_{n-1}(x) $$ and $$ xP_n(x) = P_{n+1}(x) + b_n P_n(x) + a_n^2 P_{n-1}(x) $$ THE RECURSION COEFFICIENTS. The $a_n$'s are positive and the $b_n$'s are real. DEFINITION. The measure $\alpha$ is in the class $M(a,b)$ if the recurrence coefficients of the corresponding orthogonal polynomials converge to $a/2$ and $b$ respectively. DEFINITION. $M$ is $M(1,0)$. DEFINITION. $M^*$ is the class of measures with asymptotically periodic recurrence coefficients [this is needed only for the partial generalization of the Theorem below]. NOTE. In the class $M$ $$ \lim_{n\to\infty} \frac{p_{n+1}(x)}{p_n(x)} = 2 \lim_{n\to\infty} \frac{P_{n+1}(x)}{P_n(x)} $$ if one of the limits exists. THE SECOND KIND CHEBYSHEV POLYNOMIALS. $U_n$. We have $U_n(1) = n+1$. THEOREM. If the measure $\alpha$ is in the class $M$ and if $x\in\Bbb R$, then $$ \supp(\alpha) \cap [x,\infty) \ \text{\rm is finite} \tag F $$ if and only if the positive limit $$ \lim_{n\to\infty} \frac{p_{n+1}(x)}{p_n(x)} > 0 \tag L $$ exists. PARTIAL GENERALIZATION OF THE THEOREM. If the measure $\alpha$ is in the class $M^*$ and if $x$ greater or equal than the least upper bound for the essential support of $\alpha$, then (F) holds if and only if the positive limit in (L) exists. PROOF OF THE THEOREM. 1) Let $x<1$. Then by Blumenthal's Theorem $\supp(\alpha) \cap [x,\infty)$ is infinite. In addition, if the positive limit $$ \ell \DEF \lim_{n\to\infty} \frac{P_{n+1}(x)}{P_n(x)} >0$$ exists then by the recurrence formula $$ x=\ell + \frac 1{4\ell} . $$ Since $$ \inf_{\ell>0} \left(\ell + \frac 1{4\ell}\right) =1 , $$ we have $x\ge1$. So that in this case neither (F) nor (L) holds. 2) Let $x>1$. Then by Blumenthal's Theorem $\supp(\alpha) \cap [x,\infty)$ is finite. In addition, by Poincar\'e's Theorem $$ \lim_{n\to\infty} \frac{P_{n+1}(x)}{P_n(x)} $$ exists and is equal to $\frac{x+\sqrt{x^2-1}}2$ which is positive. Thus both (F) and (L) hold. 3) Let $x=1$ and show that (L) $\Longrightarrow$ (F). Then by (L) $lim_{n\to\infty} \sign(p_n(1))$ exists. Thus, since the zeros of consecutive orthogonal polynomials interlace, a zero counting argument yields that $$ \sup_{n\in\Bbb N} \{\text{\rm number of } t \ge 1 : p_n(t)=0 \} < \infty . $$ It is well known [for instance, it follows from the convergence of the Gauss-Jacobi quadrature process] that for every $y \in \supp(\alpha) \cap [x,\infty)$ and for every neighborhood $V_y$ of $y$ there is $n_1$ such that each $p_n$ has a zero in $V_y$ for $n \ge n_1$. Hence $\supp(\alpha) \cap [x,\infty)$ is finite so that (F) holds. 4) Let $x=1$ and show that (F) $\Longrightarrow$ (L). It is well known that if $I$ is an interval and $\alpha(I)=0$ then for every $n$ the polynomial $p_n$ has at most one zero in $I$. Thus by (F) $$ \sup_{n\in\Bbb N} \{\text{\rm number of } t \ge 1 : p_n(t)=0 \} < \infty , $$ and, since the zeros of consecutive orthogonal polynomials interlace, $$ \sign(p_n(1)) = const, \qquad n \ge n_2 . \tag S $$ Thus, by the recurrence formula, $$ p_{n-1}(1) = O(|p_n(1)|) \qquad \text{\rm and} \qquad p_{n+1}(1) = O(|p_n(1)|) . \tag O $$ Fix $m\in\Bbb N$. By Theorem 3.1.13 in [N, p.~13] [applied with $k=n$ and $n=n-m$] and by the recurrence formula, $$ p_{n-m} = U_m p_n - U_{m-1} p_{n+1} + o(|p_n| + |p_{n+1}|) $$ for $n>m$. By Theorem 3.1.1 in [N, p.~8] [applied with $k=n+1$ and $n=n+m$] and by the recurrence formula, $$ p_{n+m} = U_{m-1} p_{n+1} - U_{m-2} p_n + o(|p_n| + |p_{n+1}|) $$ for $n\in\Bbb N$. Setting $x=1$ in the last the formulas and using (O) we obtain $$ p_{n-m}(1) = (m+1) p_n(1) - m p_{n+1}(1) + o(|p_n(1)|) $$ and $$ p_{n+m}(1) = m p_{n+1}(1) - (m-1) p_n(1) + o(|p_n(1)|) $$ for $n>m$. Therefore, by (S), $$ O < \frac {m+1}m - \frac {p_{n+1}(1)} {p_n(1)} + o(1) $$ and $$ 0 < \frac {p_{n+1}(1)} {p_n(1)} - \frac {m-1}m + o(1) $$ for $n \ge n_3$. Since $m\in\Bbb N$ is arbitrary, it follows that $\lim_{n\to\infty} \frac{p_{n+1}(1)}{p_n(1)}$ exists and the limit is equal to $1$. \qed PROOF OF THE PARTIAL GENERALIZATION OF THE THEOREM. This is very similar to parts 2), 3), and 4) in the PROOF OF THE THEOREM except that a Geronimo -- Van Assche version of Poincar\'e's Theorem is used. Details will be given elsewhere. REFERENCES. [D] Thomas Dehn, A shortcut to asymptotics for orthogonal polynomials. Proceedings of the Fifth International Congress on Computational and Applied Mathematics (Leuven, 1992). J. Comput. Appl. Math. {\bf 50} (1994), no. 1-3, 207--219. MR 95h:41054 [N] Paul Nevai, ``Orthogonal Polynomials'', Memoirs Amer. Math. Soc. {\bf 213} (1979), 1--185. MR 80k:42025 \enddocument Topic #18 ------------- OP-SF NET 5.4 ------------ July 15, 1998 ~~~~~~~~~~~~~ From: Tom Koornwinder Subject: MSC2000 classification scheme In OP-SF NET 4.4, Topic #2 we gave suggestions for the revision of the Mathematics Subject Classification (see http://turing.wins.uva.nl/~thk/opsfnet/4.4 ) Now there is a draft version of MSC2000 (the 2000 Mathematics Subject Classification), see http://www.ams.org/mathweb/msc2000.html The final version will be presented at the International Congress of Mathematicians in Berlin on August 24, 1998. It turns out that all our proposals about category 33 have been incorporated in the draft version, and also our proposals about a new number 42C40 (Wavelets) and about 65D20. 68Q40 (Symbolic Computation) has moved to 68W30, but it does not have a link to the new 33F10 on Symbolic Computation. Our other suggestions (about 34, 40 and 42) have not been incorporated. Tom Koornwinder Topic #19 ------------- OP-SF NET 5.4 ------------ July 15, 1998 ~~~~~~~~~~~~~ From: Tom Koornwinder Subject: Electronic Preprint Archives: Haubold's archive and the xxx archives Some six years ago the late Waleed Al-Salam in Edmonton founded an electronic preprint archive on Orthogonal Polynomials and Special Functions. This was continued by Hans Haubold in Vienna. Initially, the archive could only be approached by anonymous ftp. Later, downloading by ftp became integrated in web browsers. Approaching the archive via the web was further facilitated when Hans Haubold built a web front end for his archive. Formally, this archive is not an activity of the SIAM Activity Group on Orthogonal Polynomials and Special Functions (SIAG OP-SF), and the manager of the archive is completely autonomous. In practice, the Activity Group has always supported the archive by announcing new submissions in OP-SF NET, and by giving advice to the manager of the archive. Originally, many preprints were submitted to the archive. Between 1 August 1995 and 23 May 1998, 55 entries were submitted to the opsf-ftpsite. At present the archive has 153 listings of full papers. However, the number of entries per year is declining, and comprises only a small part of all preprints being produced in the field of Orthogonal Polynomials and Special Functions. One possible reason for this decline is that many researchers now have the possibility to make their preprints available on the web via their home page. Because of this, the possibility has been created to post just an abstract of a preprint at Haubold's archive, while giving a link to where the actual paper resides on the Internet. This facility has been used for only 7 abstracts until now. P. Ginsparg, a physicist in Los Alamos, started an electronic preprint archive on high energy physics in 1991. This has been an enormous success, and it branched into many subdivisions. All important papers in the field are posted in these so-called xxx archives. There is a standard interface, and handling is completely automatic. Some branches of mathematics have imitated this model successfully, notably Algebraic Geometry (abbreviated AG, 1449 listings) and Quantum Algebra (abbreviated QA, 1373 listings). Recently, many new archives for subfields of mathematics have been started as part of these xxx archives. Together they should cover all of mathematics. All archives share the uniform interface, the automatic handling and, very important, the possibility of cross-linking. Our field of Orthogonal Polynomials and Special Functions is primarily covered by the archive Classical Analysis (CA). Several other archives also receive some submissions in the area of OP&SF (which may be cross-linked to CA). In particular Quantum Algebra (QA), Combinatorics (CO) and solv-int (outside math xxx) get some submissions related to our area. At present, CO has 117 listings and CA has 19 listings. The SIAG OP-SF has always supported Al-Salam's and Haubold's preprint archive for mainly two reasons: - it is a useful facility for researchers in our field to make their preprints more widely available. - recent contributions to our field become easily and quickly visible and accessible by the archive. As already written above, the first argument is becoming less important because of technical developments (but still plays a role for some working outside the western world). The second argument is still important, but it depends on the willingness of the majority of researchers in the field to submit their papers or abstracts to the archive. How things will develop in future, can be influenced only very little by the SIAG OP-SF. The success of a preprint archive is primarily determined by whether a critical number of leading researchers in the field decides to post their preprints to the archive (which has been the case for Algebraic Geometry and for Quantum Algebra). On behalf of our Activity Group Charles Dunkl has contacted Greg Kuperberg, on the mathematics advisory board of the xxx e-print archive. Charles suggested to him a new subcategory SF at xxx for Special Functions and Orthogonal Polynomials. However, right now the advisory board does not want to add further subdivisions, it is strongly suggested we become part of Classical Analysis. To this we have agreed. From his part, Greg Kuperberg has changed the list of keywords for CA from Harmonic analysis, approximations, series, expansions, asymptotics, classical transforms, special functions, integro-differential equations, differential relations, analysis of ODE's, calculus of variations. into: Special functions, orthogonal polynomials, harmonic analysis, ODE's, differential relations, calculus of variations, approximations, expansions, asymptotics. The xxx archive is very interested in absorbing all the papers in the present op-sf site - for old papers they will accept ps or dvi files (new submissions must be in TeX); as Charles understands this, each paper would only need an abstract and the month of submission. Eventually the advisory board appoints a moderator for the category, to watch over the subject matter of papers called CA; someone from our group might be appropriate. We suggest that authors in the field of OP & SF post their preprints in future to the subcategory Classical Analysis (CA) of the xxx archives (with possible cross-linking to one or more other subcategories), or to another, more suitable subcategory while cross-linking to CA. Here are some of the relevant addresses and URL's: Haubold's archive: ftp://unvie6.un.or.at/siam/opsf_new/00index.html the ftp address for submissions to Haubold's archive: unvie6.un.or.at, directory siam/submissions the xxx mathematics archive, maintained at Los Alamos: http://xxx.lanl.gov/archive/math the UC Davis front end for the xxx mathematics archive: http://front.math.ucdavis.edu/ a detailed list of categories within the xxx mathematics archive: http://front.math.ucdavis.edu/categories.html Tom H. Koornwinder Topic #20 ------------- OP-SF NET 5.4 ------------ July 15, 1998 ~~~~~~~~~~~~~ From: OP-SF NET editors Subject: Classical Analysis preprints in xxx archive The following preprints in the field of orthogonal polynomials and special functions were recently posted to one of the subcategories of the xxx archives. See: http://front.math.ucdavis.edu/math.CA http://front.math.ucdavis.edu/math.CO http://front.math.ucdavis.edu/math.QA http://xxx.lanl.gov/archive/solv-int solv-int/9805011 Andrei A. Kapaev. Connection formulae for degenerated asymptotic solutions of the fourth Painleve equation math.AG/9806056 (CA) B. Dubrovin, M. Mazzocco. Monodromy of certain Painleve VI transcendents and reflection groups math.CO/9806038 Shalosh B. Ekhad, Doron Zeilberger. Curing the Andrews syndrom cond-mat/9806095 (QA) Yusuke Kato, Takashi Yamamoto. Jack polynomials with prescribed symmetry and hole propagator of spin Calogero-Sutherland model math.QA/9806097 Ivan Cherednik. >From Double Hecke algebra to analysis math.QA/9806123 Mathijs S. Dijkhuizen, Jasper V. Stokman. Some limit transitions between BC type orthogonal polynomials interpreted on quantum complex Grassmannians math.QA/9806151 (CO) Jonathan Beck, Igor Frenkel, Naihuan Jing. Canonical Basis and Macdonald Polynomials Topic #21 ------------- OP-SF NET 5.4 ------------ July 15, 1998 ~~~~~~~~~~~~~ From: Hans Haubold Subject: Preprint archive for papers in Orthogonal Polynomials and Special Functions Between 24 May and 16 June 1998, the following papers were deposited in the "siam/submissions" directory at ftp://unvie6.un.or.at/siam/opsf_new/00index.html G. Gasper: 6th month update of Errata for the book: Basic Hypergeometric Series, by George Gasper and Mizan Rahman, Encyclopedia of Mathematics and its Applications, Vol. 35, Cambridge University Press, Cambridge - New York, 1990, xx+287 pp., ISBN 0-521-35049-2. (see siam/submissions/gasper4.tex) M. Saigo, A.A. Kilbas, and H. Takushima, On the multidimensional pyramidal fractional integrals and derivatives R.K. Raina, H.M. Srivastava, A.A. Kilbas, and M. Saigo, Solvability of some Abel-type integral equations involving the Gauss hypergeometric function as kernels in the spaces of summable functions Topic #22 ------------- OP-SF NET 5.4 ------------ July 15, 1998 ~~~~~~~~~~~~~ From: OP-SF NET Editors Subject: Changes of Address, WWW Pages, etc. Effective October 1998, Renato Alvarez-Nodarse will be at: Departamento de Analisis Matematico Universidad de Sevilla c/ Tarfia s/n E-41012 Sevilla, Spain fax: +34-95-455-7972 e-mail: renato@gandalf.ugr.es) Here are some additions to our list of Individual Web Pages: Sergei Suslov http://www.public.asu.edu/~sergei/ Philippe Flajolet http://pauillac.inria.fr/algo/flajolet/ Bruno Salvy http://pauillac.inria.fr/algo/salvy/ Frederic Chyzak http://pauillac.inria.fr/algo/chyzak/ Topic #23 ------------- OP-SF NET 5.4 ------------ July 15, 1998 ~~~~~~~~~~~~~ From: OP-SF NET Editors , Subject: Subscribing to OP-SF NET There are two ways to subscribe to OP-SF NET: 1. Send a message to poly-request@siam.org with your name and email address in the body of the message. If everything works well, you will be put on the mailing list of OP-SF NET which is maintained by SIAM. 2. Send a message to majordomo@wins.uva.nl and put in the body of the message only the words: subscribe opsfnet This is handled by an automatic list server. You will receive a confirmation, with a list of further commands. You will be put on the opsfnet mailing list of this list server. A new issue of OP-SF NET will be mailed to people on this list immediately after the mailing by SIAM to the people on the list maintained by SIAM. Topic #24 ------------- OP-SF NET 5.4 ------------- July 15, 1998 ~~~~~~~~~~~~~ From: OP-SF NET Editors , Subject: Obtaining back issues of OP-SF NET and submitting contributions to OP-SF NET and Newsletter Back issues of OP-SF NET can be obtained from ftp: ftp.wins.uva.nl, in directory pub/mathematics/reports/Analysis/koornwinder/opsfnet.dir or WWW: http://turing.wins.uva.nl/~thk/opsfnet/ or WWW: http://www.math.ohio-state.edu/JAT/DATA/OPSFNET/opsfnet.html Contributions to the OP-SF NET 5.5 should reach the email address poly@siam.org before September 1, 1998. The Activity Group also sponsors a (printed) Newsletter edited by Wolfram Koepf, soon to be replaced by Renato Alvarez-Nodarse and Rafael Yanez (see OP-SF Net 5.2, Topic #1). Deadline for submissions to be included in the October 1998 issue is September 15, 1998 and for the February 1999 issue it is January 15, 1999. Please send your Newsletter contributions directly to the old or new Editors: Wolfram Koepf Fachbereich IMN HTWK Leipzig Gustav-Freytag-Str. 42 A D-04277 Leipzig phone: +49-341-307 64 95 fax: +49-341-301 27 22 e-mail: koepf@imn.htwk-leipzig.de koepf@zib.de Renato Alvarez-Nodarse Departamento de Matematicas Escuela Politecnica Superior Universidad Carlos III, Butarque 15 E-28911 Leganes, Madrid, Spain phone: +34-1-624-94-70 fax: +34-1-624-94-30 e-mail: nodar@math.uc3m.es (Effective October 1998, Renato's Address will be: Departamento de Analisis Matematico Universidad de Sevilla c/ Tarfia s/n E-41012 Sevilla, Spain fax: +34-95-455-7972 e-mail: renato@gandalf.ugr.es) Rafael J. Yanez Departamento de Matematica Aplicada Universidad de Granada E-18071 Granada, Spain phone: +34-58-242941 fax: +34-58-242862 e-mail: ryanez@ugr.es preferably by email, and in latex format. Other formats are also acceptable and can be submitted by email, regular mail or fax. 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