Linearization and connection coefficients for hypergeometric-type polynomials

Linearization and connection coefficients for hypergeometric-type polynomials

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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Veröffentlicht in:Journal of computational and applied mathematics 1998-11, Vol.99 (1), p.15-26
Hauptverfasser: Artés, P.L., Dehesa, J.S., Martínez-Finkelshtein, A., Sánchez-Ruiz, J.
Format: Artikel
Sprache:eng
Schlagworte:
Exact sciences and technology
Mathematical analysis
Mathematics
Ordinary differential equations
Sciences and techniques of general use
Special functions
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Beschreibung
Zusammenfassung: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.
ISSN:0377-0427
1879-1778
DOI:10.1016/S0377-0427(98)00141-1