
Theory and Applications of Special Functions
A Volume Dedicated to Mizan Rahman
Springer (Publisher)
Published on 25. March 2005
Book
Hardback
XII, 491 pages
978-0-387-24231-6 (ISBN)
Description
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.
Reviews / Votes
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)
More details
Series
Edition
2005 ed.
Language
English
Place of publication
New York
United States
Target group
Professional and scholarly
Research
Product notice
sewn/stitched
Cloth over boards
Illustrations
XII, 491 p.
Dimensions
Height: 234 mm
Width: 156 mm
Thickness: 29 mm
Weight
885 gr
ISBN-13
978-0-387-24231-6 (9780387242316)
DOI
10.1007/b104910
Schweitzer Classification
Other editions
Additional editions

Mourad E. H. Ismail | Erik Koelink
Theory and Applications of Special Functions
A Volume Dedicated to Mizan Rahman
Book
12/2010
Springer
€160.49
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Mourad E. H. Ismail | Erik Koelink
Theory and Applications of Special Functions
A Volume Dedicated to Mizan Rahman
E-Book
03/2006
1st Edition
Springer
€149.79
Available for download
Content
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.