Special Functions 2000: Current Perspective and Future Directions (Nato Science Series II: (closed)): 30 - Brossura

 
9780792371205: Special Functions 2000: Current Perspective and Future Directions (Nato Science Series II: (closed)): 30
Brossura
ISBN 10: 0792371208 ISBN 13: 9780792371205
Casa editrice: Springer, 2001

Sinossi

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.

Le informazioni nella sezione "Riassunto" possono far riferimento a edizioni diverse di questo titolo.

Contenuti

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.

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Editore
Springer
Data di pubblicazione
2001
Lingua
Inglese
ISBN 10 
0792371208
ISBN 13 
9780792371205
Rilegatura
Copertina flessibile
Numero di pagine
536
Redattore
Bustoz Joaquin
Contatto del produttore
non disponibile
Persona responsabile
Springer Nature Customer Service Center GmbH
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Altre edizioni note dello stesso titolo

9780792371199: Special Functions 2000: Current Perspective and Future Directions: v. 30

Edizione in evidenza

ISBN 10:  0792371194 ISBN 13:  9780792371199
Casa editrice: Kluwer Academic Pub, 2001
Rilegato