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

Author:   Mourad E. H. Ismail ,  Erik Koelink
Publisher:   Springer-Verlag New York Inc.
Edition:   Softcover reprint of hardcover 1st ed. 2005
Volume:   13
ISBN:  

9781441937063


Pages:   491
Publication Date:   06 December 2010
Format:   Paperback
Availability:   In Print   Availability explained
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Theory and Applications of Special Functions: A Volume Dedicated to Mizan Rahman


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Overview

This volume, ""Theory and Applications of Special Functions,"" is d- icated to Mizan Rahman in honoring him for the many important c- tributions to the theory of special functions that he has made over the years, and still continues to make. Some of the papers were presented at a special session of the American Mathematical Society Annual Meeting in Baltimore, Maryland, in January 2003 organized by Mourad Ismail. Mizan Rahman's contributions are not only contained in his own - pers, but also indirectly in other papers for which he supplied useful and often essential information. We refer to the paper on his mathematics in this volume for more information. This paper contains some personal recollections and tries to describe Mizan Rahman's literary writings in his mother tongue, Bengali. An even more personal paper on Mizan Rahman is the letter by his sons, whom we thank for allowing us to reproduce it in this book. The theory of special functions is very much an application driven field of mathematics. This is a very old field, dating back to the 18th century when physicists and mathematician were looking for solutions of the fundamental differential equations of mathematical physics. Since then the field has grown enormously, and this book reflects only part of the known applications.

Full Product Details

Author:   Mourad E. H. Ismail ,  Erik Koelink
Publisher:   Springer-Verlag New York Inc.
Imprint:   Springer-Verlag New York Inc.
Edition:   Softcover reprint of hardcover 1st ed. 2005
Volume:   13
Dimensions:   Width: 15.50cm , Height: 2.50cm , Length: 23.50cm
Weight:   0.765kg
ISBN:  

9781441937063


ISBN 10:   1441937064
Pages:   491
Publication Date:   06 December 2010
Audience:   Professional and scholarly ,  Professional & Vocational ,  Postgraduate, Research & Scholarly
Format:   Paperback
Publisher's Status:   Active
Availability:   In Print   Availability explained
This item will be ordered in for you from one of our suppliers. Upon receipt, we will promptly dispatch it out to you. For in store availability, please contact us.

Table of Contents

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.

Reviews

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)


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)


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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