Theory and Applications of Special Functions [electronic resource] : A Volume Dedicated to Mizan Rahman /
Ismail, Mourad E. H.editor.
Koelink, Erik.editor.
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 the recent upsurge in the subject. Audience This book is intended for researchers and graduate students in special functions, algebraic combinatorics, quantum groups, and integrable systems.
Description based upon print version of record.
Bibliography of Mizan Rahman (p. 11-21).
Includes bibliographical references.
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.
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 the recent upsurge in the subject. Audience This book is intended for researchers and graduate students in special functions, algebraic combinatorics, quantum groups, and integrable systems.
Special functions.
Approximation theory.
Integral transforms.
Operational calculus.
Special Functions.
Approximations and Expansions.
Integral Transforms, Operational Calculus.
Developments in Mathematics