Theory and Applications of Special Functions / Developments in Mathematics Bd.13 (PDF)

Name: Theory and Applications of Special Functions / Developments in Mathematics Bd.13
Brand: Springer-Verlag GmbH
SKU: 29545299
Price: 153.99 EUR
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A Volume Dedicated to Mizan Rahman (Sprache: Englisch)

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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...

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This book is intended for researchers and graduate students in special functions, algebraic combinatorics, quantum groups, and integrable systems.

Inhaltsverzeichnis zu „Theory and Applications of Special Functions / Developments in Mathematics Bd.13 (PDF)“

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.

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Bibliographische Angaben

2006, 2005, 491 Seiten, Englisch
Herausgegeben: Mourad E. H. Ismail, Erik Koelink
Verlag: Springer-Verlag GmbH
ISBN-10: 0387242333
ISBN-13: 9780387242330
Erscheinungsdatum: 30.03.2006

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Dateiformat: PDF
Größe: 17 MB
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Sprache:

Englisch

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From the reviews:

"This is a collection of papers dedicated to Mizan Rahman, who is best known in the mathematical community for co-authoring with George Gasper the modern classic Basic Hypergeometric Series … . There is also a valuable survey of Rahman’s work by the editors … . many world leaders in special functions have contributed, and the overall quality is very high. Anyone working in q-series should own this collection. It may also be of interest to people in other areas within or related to special functions." (Warren Johnson, MathDL, May, 2005)

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