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Special Functions 2000 : Current Perspective and Future Directions - Joaquin Bustoz

Special Functions 2000

Current Perspective and Future Directions

By: Joaquin Bustoz (Editor), Mourad E. H. Ismail (Editor), Sergei K. Suslov (Editor)

Paperback Published: 31st August 2001
ISBN: 9780792371205
Number Of Pages: 520

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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, PainlevA(c) classification.

Foreword Bailey's transform, lemma, chains and tree
Riemann-Hilbert problems for multiple orthogonal polynomials
Flowers which we cannot yet see growing in Ramanujan's garden of hypergeometric series, elliptic functions and q's
Orthogonal rational functions and continued fractions
Orthogonal polynomials and reflection groups
The bispectral problem: an overview
The Bochner-Krall problem: some new perspectives
Lectures on q-orthogonal polynomials
The Askey-Wilson function transform scheme
Arithmetic of the partition function
The associated classical orthogonal polynomials
Special functions defined by analytic difference equations
The factorization method, self-similar potentials and quantum algebras
Generalized eigenvalue problem and a new family of rational functions biorthogonal on elliptic grids
Orthogonal polynomials and combinatorics
Basic exponential functions on a q-quadratic grid
Projection operator method for quantum groups
Uniform asymptotic expansions
Exponential asymptotics
Table of Contents provided by Publisher. All Rights Reserved.

ISBN: 9780792371205
ISBN-10: 0792371208
Series: NATO Science Series II: Mathematics, Physics and Chemistry
Audience: General
Format: Paperback
Language: English
Number Of Pages: 520
Published: 31st August 2001
Publisher: Springer
Country of Publication: NL
Dimensions (cm): 23.39 x 15.6  x 2.74
Weight (kg): 0.74