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Linearization and connection coefficients for hypergeometric-type polynomials

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URI: https://hdl.handle.net/10016/6664
ISSN: 0377-0427
DOI: 10.1016/S0377-0427(98)00141-1
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1998-11-16
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Elsevier
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Abstract
We consider the problem of finding closed analytical formulas for both the linearization and connection coefficients for hypergeometric-type polynomials, directly in terms of the corresponding differential equations. We illustrate the method by producing explicit formulas for Hermite polynomials.
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12 pages, no figures.-- MSC2000 codes: 33C45, 26C05.-- Issue title: "Proceedings of the VIIIth Symposium on Orthogonal Polynomials and Their Application" (Seville, Spain, Sep 1997).
MR#: MR1662679 (99k:33006)
Zbl#: Zbl 0927.33005
Keywords
Hypergeometric polynomials, Connection coefficients, Second-order differential equations
Bibliographic citation
Journal of Computational and Applied Mathematics, 1998, vol. 99, n. 1-2, p. 15-26
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