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Hypergeometric orthogonal polynomials and their q-analogues

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Cover of 'Hypergeometric orthogonal polynomials and their q-analogues'

Table of Contents

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    Book Overview
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    Chapter 1 Definitions and Miscellaneous Formulas
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    Chapter 2 Polynomial Solutions of Eigenvalue Problems
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    Chapter 3 Orthogonality of the Polynomial Solutions
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    Chapter 4 Orthogonal Polynomial Solutions of Differential Equations
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    Chapter 5 Orthogonal Polynomial Solutions of Real Difference Equations
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    Chapter 6 Orthogonal Polynomial Solutions of Complex Difference Equations
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    Chapter 7 Orthogonal Polynomial Solutions in x(x+u) of Real Difference Equations
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    Chapter 8 Orthogonal Polynomial Solutions in z(z+u) of Complex Difference Equations
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    Chapter 9 Hypergeometric Orthogonal Polynomials
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    Chapter 10 Orthogonal Polynomial Solutions of q-Difference Equations
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    Chapter 11 Orthogonal Polynomial Solutions in q −x of q-Difference Equations
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    Chapter 12 Orthogonal Polynomial Solutions in q −x +uq x of Real q-Difference Equations
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    Chapter 13 Orthogonal Polynomial Solutions in $\frac{a}{z}+\frac{uz}{a}$ of Complex q-Difference Equations
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    Chapter 14 Basic Hypergeometric Orthogonal Polynomials
Attention for Chapter 14: Basic Hypergeometric Orthogonal Polynomials
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Chapter title
Basic Hypergeometric Orthogonal Polynomials
Chapter number 14
Book title
Hypergeometric Orthogonal Polynomials and Their q-Analogues
Published by
Springer, Berlin, Heidelberg, January 2010
DOI 10.1007/978-3-642-05014-5_14
Book ISBNs
978-3-64-205013-8, 978-3-64-205014-5
Authors

Roelof Koekoek, Peter A. Lesky, René F. Swarttouw

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