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Other titles in the NATO Science Series II: Mathematics, Physics and Chemistry series:

NATO Science Series II: Mathematics, Physics and Chemistry #30: Special Functions 2000: Current Perspective and Future Directions

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NATO Science Series II: Mathematics, Physics and Chemistry #30: Special Functions 2000: Current Perspective and Future Directions Cover

 

Synopses & Reviews

Publisher Comments:

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, Painlevé classification.

Table of Contents

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. Grünbaum. 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.

Product Details

ISBN:
9780792371205
Author:
Bustoz, Joaquin
Publisher:
Springer
Editor:
Ismail, Mourad E. H.
Editor:
Suslov, S. K.
Author:
Suslov, Sergei
Author:
Suslov, S. K.
Author:
Ismail, Mourad E. H.
Location:
Dordrecht
Subject:
Functions, special
Subject:
Calculus
Subject:
General
Subject:
Physics
Subject:
Functional Analysis
Subject:
Special functions
Subject:
Fourier analysis
Subject:
Group Theory and Generalizations
Subject:
Combinatorics
Subject:
Number Theory
Subject:
Mathematics-Calculus
Subject:
Mathematical Analysis
Subject:
Mathematics
Subject:
Language, literature and biography
Subject:
Chemistry and Materials Science
Subject:
Group Theory
Copyright:
Edition Description:
Softcover reprint of the original 1st ed. 2001
Series:
Nato Science Series II: (closed)
Series Volume:
30
Publication Date:
20010831
Binding:
TRADE PAPER
Language:
English
Illustrations:
Yes
Pages:
531
Dimensions:
240 x 160 mm 1640 gr

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NATO Science Series II: Mathematics, Physics and Chemistry #30: Special Functions 2000: Current Perspective and Future Directions New Trade Paper
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