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Theory and Applications of Special Functions

 Ebook
Sofort lieferbar | Lieferzeit:3-5 Tage I
ISBN-13:
9780387242330
Einband:
Ebook
Seiten:
491
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. 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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