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Askey-Scheme of Hypergeometric Orthogonal Polynomials and Its q-Analogue

机译：超几何正交多项式的askey格式及其q-模拟

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We list the so-called Askey-scheme of hypergeometric orthogonal polynomials. In chapter 1 we give the definition, the orthogonality relation, the three term recurrence relation and generating functions of all classes of orthogonal polynomials in this scheme. In chapter 2 we give all limit relations between different classes of orthogonal polynomials listed in the Askey-scheme. In chapter 3 we list the q-analogs of the polynomials in the Askey-scheme. We give their definition, orthogonality relation, three term recurrence relation and generating functions. In chapter 4 we give the limit relations between those basic hypergeometric orthogonal polynomials. Finally, in chapter 5 we point out how the 'classical' hypergeometric orthogonal polynomials of the Askey-scheme can be obtained from their q-analogs. (Copyright (c) 1994 by Faculty of Technical Mathematics and Informatics, Delft, The Netherlands.)

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