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Theory and Applications of Special Functions

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Cover of 'Theory and Applications of Special Functions'

Table of Contents

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    Book Overview
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    Chapter 1 Mizan Rahman, His Mathematics and Literary Writings
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    Chapter 2 On the Completeness of Sets of q-Bessel Functions J ν (3) (x; q)
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    Chapter 3 a -Gaussian Polynomials and Finite Rogers-Ramanujan Identities
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    Chapter 4 On a Generalized Gamma Convolution Related to the q -Calculus
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    Chapter 5 Ramanujan and Cranks
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    Chapter 6 The Saalschütz Chain Reactions and Multiple q -Series Transformations
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    Chapter 7 Painlevé Equations and Associated Polynomials
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    Chapter 8 Zeta Functions of Heisenberg Graphs over Finite Rings
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    Chapter 9 q -Analogues of Some Multivariable Biorthogonal Polynomials
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    Chapter 10 Some Systems of Multivariable Orthogonal Askey-Wilson Polynomials
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    Chapter 11 Continuous Hahn Functions as Clebsch-Gordan Coefficients
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    Chapter 12 New Proofs of Some q -Series Results
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    Chapter 13 The Little q -Jacobi Functions of Complex Order
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    Chapter 14 A Second Addition Formula for Continuous q -Ultraspherical Polynomials
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    Chapter 15 A Bilateral Series Involving Basic Hypergeometric Functions
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    Chapter 16 The Hilbert Space Asymptotics of a Class of Orthonormal Polynomials on a Bounded Interval
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    Chapter 17 Abel-Rothe Type Generalizations of Jacobi's Triple Product Identity
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    Chapter 18 Summable Sums of Hypergeometric Series
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    Chapter 19 Askey-Wilson Functions and Quantum Groups
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    Chapter 20 An Analog of the Cauchy-Hadamard Formula for Expansions in q -Polynomials
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    Chapter 21 Strong Nonnegative Linearization of Orthogonal Polynomials
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    Chapter 22 Remarks on Some Basic Hypergeometric Series
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