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Author:   Joaquin Bustoz ,  Mourad E.H. Ismail ,  Sergei Suslov
Publisher:   Springer
Imprint:   Springer
Edition:   Softcover reprint of the original 1st ed. 2001
Volume:   30
Dimensions:   Width: 15.50cm , Height: 2.70cm , Length: 23.50cm
Weight:   1.640kg
ISBN:  

9780792371205

ISBN 10:   0792371208
Pages:   520
Publication Date:   31 August 2001
Audience:   General/trade ,  College/higher education ,  General ,  Undergraduate
Format:   Paperback
Publisher's Status:   Active
Availability:   In Print  
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Table of Contents

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.

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