Special functions 2000 : current perspective and future directions

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Special functions 2000 : current perspective and future directions / edited by Joaquin Bustoz, Mourad E.H. Ismail and Sergei K. Suslov

資料種別:

図書

出版情報:

Dordrecht : Kluwer Academic Publishers, c2001

形態:

xi, 520 p. ; 25 cm

シリーズ名:

NATO science series ; Sub-series II . Mathematics, physics, and chemistry ; v. 30 <BA40559140>

著者名:

ISBN:

9780792371199 [0792371194] (: hb)
9780792371205 [0792371208] (: pb)

書誌ID:

BA53232529

子書誌情報

フルテキスト

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他の版・巻

書誌詳細

その他の標題:

Proceedings of the NATO Advanced Study Institute on Special functions 2000 : current perspective and future directions

注記:

Proceedings of the NATO Advanced Study Institute on Special Functions 2000 : current perspective and future directions, Temple, Arizona, May 29 - June 9, 2000
Includes bibliographical references and indexes

言語:

英語

目次情報:

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. Grnnbaum

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 / 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

Index

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

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