Integral Representations of a Generalized Linear Hermite Functional

Integral Representations of a Generalized Linear Hermite Functional

In this paper, we find new integral representations for the generalized Hermite linear functional in the real line and the complex plane. As an application, new integral representations for the Euler Gamma function are given.

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Veröffentlicht in:Mathematics (Basel) 2023-07, Vol.11 (14), p.3227
1. Verfasser: Costas-Santos, Roberto S.
Format: Artikel
Sprache:eng
Schlagworte:
Gamma function
generalized hermite linear functional
Hermite functions
integral representation
Integrals
Polynomials
Representations
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Zusammenfassung:In this paper, we find new integral representations for the generalized Hermite linear functional in the real line and the complex plane. As an application, new integral representations for the Euler Gamma function are given.
ISSN:2227-7390
2227-7390
DOI:10.3390/math11143227