Asymptotic relations in the Askey scheme for hypergeometric orthogonal polynomials (Q1408281)

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scientific article; zbMATH DE number 1981420
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Asymptotic relations in the Askey scheme for hypergeometric orthogonal polynomials
scientific article; zbMATH DE number 1981420

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    Asymptotic relations in the Askey scheme for hypergeometric orthogonal polynomials (English)
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    15 September 2003
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    The authors obtained (1) asymptotic expansions of Charlier, Meixner-Pollaczek, Jacobi, Meixner, and Krawtchouk polynomials in terms of Hermite polynomials; (2) asymptotic expansions of Meixner-Pollaczek, Jacobi, Meixner, and Krawtchouk polynomials in terms of Charlier polynomials. The paper also provides an exhaustive analysis of three lower levels of the Askey scheme.
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    Askey scheme of hypergeometric orthogonal polynomials
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    asymptotic expansions
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