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＜電子ブック＞
Theory and Applications of Special Functions : A Volume Dedicated to Mizan Rahman / edited by Mourad E. H. Ismail, Erik Koelink
(Developments in Mathematics. ISSN:2197795X ; 13)

版	1st ed. 2005.
出版者	(New York, NY : Springer US : Imprint: Springer)
出版年	2005
本文言語	英語
大きさ	XII, 491 p : online resource
著者標目	Ismail, Mourad E. H editor Koelink, Erik editor SpringerLink (Online service)
件　名	LCSH:Special functions LCSH:Approximation theory LCSH:Mathematical analysis FREE:Special Functions FREE:Approximations and Expansions FREE:Integral Transforms and Operational Calculus
一般注記	Mizan Rahman, His Mathematics and Literary Writings -- On the Completeness of Sets of q-Bessel Functions J?(3)(x; q) -- a-Gaussian Polynomials and Finite Rogers-Ramanujan Identities -- On a Generalized Gamma Convolution Related to the q-Calculus -- Ramanujan and Cranks -- The Saalschütz Chain Reactions and Multiple q-Series Transformations -- Painlevé Equations and Associated Polynomials -- Zeta Functions of Heisenberg Graphs over Finite Rings -- q-Analogues of Some Multivariable Biorthogonal Polynomials -- Some Systems of Multivariable Orthogonal Askey-Wilson Polynomials -- Continuous Hahn Functions as Clebsch-Gordan Coefficients -- New Proofs of Some q-Series Results -- The Little q-Jacobi Functions of Complex Order -- A Second Addition Formula for Continuous q-Ultraspherical Polynomials -- A Bilateral Series Involving Basic Hypergeometric Functions -- The Hilbert Space Asymptotics of a Class of Orthonormal Polynomials on a Bounded Interval -- Abel-Rothe Type Generalizations of Jacobi's Triple Product Identity -- Summable Sums of Hypergeometric Series -- Askey-Wilson Functions and Quantum Groups -- An Analog of the Cauchy-Hadamard Formula for Expansions in q-Polynomials -- Strong Nonnegative Linearization of Orthogonal Polynomials -- Remarks on Some Basic Hypergeometric Series This book, dedicated to Mizan Rahman, is made up of a collection of articles on various aspects of q-series and special functions. Also, it includes an article by Askey, Ismail, and Koelink on Rahman’s mathematical contributions and how they influenced the recent upsurge in the subject. Audience This book is intended for researchers and graduate students in special functions, algebraic combinatorics, quantum groups, and integrable systems HTTP:URL=https://doi.org/10.1007/b104910

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