Monomiality and integrals involving Laguerre polynomials

Monomiality and integrals involving Laguerre polynomials

We introduce the concept of quasi monomiality for Laguerre polynomials and study the associated iso-spectral problems. We show that the use of this concept may be particularly useful in application, providing e.g. analytical expressions for infinite integrals involving products of Gaussian and Lague...

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Veröffentlicht in:Rendiconti di matematica e delle sue applicazioni (1981) 1998-01, Vol.18 (3), p.565-574
Hauptverfasser: G. Dattoli, A. Torre, G. Mazzacurati
Format: Artikel
Sprache:eng
Schlagworte:
bessel-hermite functions
gaussian integrals
kampé de fériét operators
laguerre and hermite polynomials
monomiality
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Zusammenfassung:We introduce the concept of quasi monomiality for Laguerre polynomials and study the associated iso-spectral problems. We show that the use of this concept may be particularly useful in application, providing e.g. analytical expressions for infinite integrals involving products of Gaussian and Laguerre polynomials.
ISSN:1120-7183
2532-3350