Theory and Applications of Special Functions: A Volume Dedicated to Mizan Rahman
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Theory and Applications of Special Functions: A Volume Dedicated to Mizan Rahman

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ISBN-13:
9780387242316
Einband:
Buch
Erscheinungsdatum:
01.03.2005
Seiten:
491
Autor:
Mourad E. H. Ismail
Gewicht:
885 g
Format:
234x156x29 mm
Serie:
13, Developments in Mathematics
Sprache:
Englisch
Beschreibung:

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.
A collection of articles on various aspects of q-series and special functions dedicated to Mizan Rahman. It also includes an article by Askey, Ismail, and Koelink on Rahman's mathematical contributions and how they influenced the recent upsurge in the subject.

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