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Topic #4 ------------- OP-SF NET 8.5 ------------ September 15, 2001
~~~~~~~~~~~~~
From: OP-SF NET Editor ([email protected])
Subject: Special Functions 2000 (Tempe) Proceedings
[From the web site:
http://www.wkap.nl/book.htm/0-7923-7120-8]
Special Functions 2000: Current Perspective and Future
Directions
Proceedings of the NATO Advanced Study Institute on Special
Functions 2000, held in Tempe, Arizona, USA
edited by
Joaquin Bustoz
Mourad E.H. Ismail
Sergei K. Suslov
NATO SCIENCE SERIES: II: Mathematics, Physics and Chemistry
Volume 30
The Advanced Study Institute brought together
researchers in the main areas of special functions and
applications to present recent developments in the theory,
review the accomplishments of past decades, and chart
directions for future research. Some of the topics covered
are orthogonal polynomials and special functions in one
and several variables, asymptotic, continued fractions,
applications to number theory, combinatorics and
mathematical physics, integrable systems, harmonic
analysis and quantum groups, Painlev� classification.
Contents and Contributors
- Preface.
- Foreword.
- Bailey's transform, lemma, chains and tree; G.E. Andrews.
- Riemann-Hilbert problems for multiple orthogonal polynomials;
W. Van Assche, et al.
- Flowers which we cannot yet see growing in Ramanujan's garden of
hypergeometric series, elliptic functions and q's;
B.C. Berndt.
- Orthogonal rational functions and continued fractions;
A. Bultheel, et al.
- Orthogonal polynomials and reflection groups; C.F Dunkl.
- The bispectral problem: an overview; F.A. Grunbaum.
- The Bochner-Krall problem: some new perspectives; L. Haine.
- Lectures on q-orthogonal polynomials; M.E.H. Ismail.
- The Askey-Wilson function transform scheme; E. Koelink, J.V.
Stokman.
- Arithmetic of the partition function; K. Ono.
- The associated classical orthogonal polynomials; M. Rahman.
- Special functions defined by analytic difference equations;
S.N.M. Ruijsenaars.
- The factorization method, self-similar potentials and quantum
algebras; V.P. Spiridonov.
- Generalized eigenvalue problem and a new family of rational
functions biorthogonal on elliptic grids; V.P.
Spiridonov, A.S. Zhedanov.
- Orthogonal polynomials and combinatorics; D. Stanton.
- Basic exponential functions on a q-quadratic grid; S.K. Suslov.
- Projection operator method for quantum groups; V.N. Tolstoy.
- Uniform asymptotic expansions; R. Wong.
- Exponential asymptotics; R. Wong.
- Index.
Kluwer Academic Publishers, Dordrecht
Hardbound, ISBN 0-7923-7119-4
EUR 190.00 / USD 175.00 / GBP 120.00
Paperback, ISBN 0-7923-7120-8
September 2001, 536 pp.
EUR 80.00 / USD 74.00 / GBP 50.00
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