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

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

Joaquin Bustoz

Mourad E. H. Ismail

Sergei Suslov

en Limba Engleză Paperback – 31 aug 2001

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.

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Specificații

ISBN-13: 9780792371205
ISBN-10: 0792371208
Pagini: 520
Ilustrații: XI, 520 p.
Dimensiuni: 155 x 235 x 27 mm
Greutate: 0.74 kg
Ediția:Softcover reprint of the original 1st ed. 2001
Editura: SPRINGER NETHERLANDS
Colecția Springer
Seria NATO Science Series II: Mathematics, Physics and Chemistry

Locul publicării:Dordrecht, Netherlands

Cuprins

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.