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Theory and Applications of Special Functions

A Volume Dedicated to Mizan Rahman
Sofort lieferbar | Lieferzeit: Sofort lieferbar I
ISBN-13:
9780387242330
Veröffentl:
2006
Seiten:
491
Autor:
Mourad E. H. Ismail
Serie:
13, Developments in Mathematics
eBook Typ:
PDF
eBook Format:
EPUB
Kopierschutz:
1 - PDF Watermark
Sprache:
Englisch
Beschreibung:

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.
"This book, dedicated to Mizan Rahman, is made up of a collection of articles on various aspects of q-series and special functions. 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. TOC:Preface.- Dedication.- Mizan Rahman, His Mathematics and Literary Writings.- q-Bessel Functions.- a-Gaussian Polynomials.- 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.- Multivariable Askey-Wilson Polynomials.- Continuous Hahn Functions.- Series and Integrals.- Little q-Jacobi Functions.- A Second Addition Formula for Continuous q-Ultraspherical Polynomials.- A Bilateral Series Involving Basic Hypergeometric Functions.- Hilbert Space Asymptotics for Orthogonal Polynomials.- Generalizations of Jacobi's Triple Product Identity.- Summable Sums.- Askey-Wilson Functions and Quantum Groups.- Expansions in q-Polynomials.- Strong Nonnegative Linearization of Orthogonal Polynomials.- Remarks on Some Basic Hypergeometric Series."
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.

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