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Special Functions 2000: Current Perspective and Future Directions (Nato Science Series II: (closed)): 30 - Brossura
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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, 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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- EditoreSpringer
- Data di pubblicazione2001
- ISBN 10 0792371208
- ISBN 13 9780792371205
- RilegaturaCopertina flessibile
- LinguaInglese
- Numero di pagine536
- RedattoreBustoz Joaquin
- Contatto del produttorenon disponibile
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Special Functions 2000: Current Perspective and Future Directions (Nato Science Series II:)
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Kartoniert / Broschiert. Condizione: New. Dieser Artikel ist ein Print on Demand Artikel und wird nach Ihrer Bestellung fuer Sie gedruckt. Proceedings of the NATO Advanced Study Institute on Special Functions 2000, held in Tempe, Arizona, USA The Advanced Study Institute brought together researchers in the main areas of special functions and applications to present recent developments i. Codice articolo 5969937
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Special Functions 2000: Current Perspective and Future Directions
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Taschenbuch. Condizione: Neu. This item is printed on demand - it takes 3-4 days longer - Neuware -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. 536 pp. Englisch. Codice articolo 9780792371205
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