Theory and Applications of Special Functions A Volume Dedicated to Mizan Rahman
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 Thi...
| Other Authors: | , |
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| Format: | eBook |
| Language: | English |
| Published: |
New York, NY
Springer US
2005, 2005
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| Edition: | 1st ed. 2005 |
| Series: | Developments in Mathematics
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| Subjects: | |
| Online Access: | |
| Collection: | Springer eBooks 2005- - Collection details see MPG.ReNa |
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