Theory and applications of special functions : a volume dedicated to Mizan Rahman

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Bibliographic Information

Theory and applications of special functions : a volume dedicated to Mizan Rahman

edited by Mourad E.H. Ismail, Erik Koelink

(Developments in mathematics, v. 13)

Springer, c2005

Other Title

Theory and applications of special functions

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Note

"Publications (bibliography of Mizan Rahman)": p. 11-21

Includes bibliographies

Description and Table of Contents

Description

A collection of articles on various aspects of q-series and special functions dedicated to Mizan Rahman. 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.

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 Saalschutz Chain Reactions and Multiple q-Series Transformations.- Painleve 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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Details

  • NCID
    BA71992750
  • ISBN
    • 0387242317
  • Country Code
    us
  • Title Language Code
    eng
  • Text Language Code
    eng
  • Place of Publication
    New York
  • Pages/Volumes
    x, 491 p.
  • Size
    25 cm
  • Classification
  • Subject Headings
  • Parent Bibliography ID
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