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Hypergeometric Orthogonal Polynomials and Their q-Analogues
Language: en
Pages: 584
Authors: Roelof Koekoek
Categories: Mathematics
Type: BOOK - Published: 2010-03-18 - Publisher: Springer Science & Business Media

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The present book is about the Askey scheme and the q-Askey scheme, which are graphically displayed right before chapter 9 and chapter 14, respectively. The fa-
Hypergeometric Orthogonal Polynomials and Their q-Analogues
Language: en
Pages: 578
Authors: Roelof Koekoek
Categories: Mathematics
Type: BOOK - Published: 2010-10-22 - Publisher: Springer

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The present book is about the Askey scheme and the q-Askey scheme, which are graphically displayed right before chapter 9 and chapter 14, respectively. The fa-
Some Basic Hypergeometric Orthogonal Polynomials that Generalize Jacobi Polynomials
Language: en
Pages: 63
Authors: Richard Askey
Categories: Jacobi polynomials
Type: BOOK - Published: 1985 - Publisher: American Mathematical Soc.

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A very general set of orthogonal polynomials in one variable that extends the classical polynomials is a set we called the q-Racah polynomials. In an earlier pa
Frontiers In Orthogonal Polynomials And Q-series
Language: en
Pages: 577
Authors: M Zuhair Nashed
Categories: Mathematics
Type: BOOK - Published: 2018-01-12 - Publisher: World Scientific

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This volume aims to highlight trends and important directions of research in orthogonal polynomials, q-series, and related topics in number theory, combinatoric
Orthogonal Polynomials
Language: en
Pages: 448
Authors: Gabor Szegš
Categories: Mathematics
Type: BOOK - Published: 1939-12-31 - Publisher: American Mathematical Soc.

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The general theory of orthogonal polynomials was developed in the late 19th century from a study of continued fractions by P. L. Chebyshev, even though special