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Integral Representations of a Generalized Linear Hermite Functional

Roberto S. Costas-Santos ()
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Roberto S. Costas-Santos: Department of Quantitative Methods, Universidad Loyola Andalucía, E-41704 Seville, Spain

Mathematics, 2023, vol. 11, issue 14, 1-10

Abstract: 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.

Keywords: integral representation; Hermite functions; generalized hermite linear functional; gamma function (search for similar items in EconPapers)
JEL-codes: C (search for similar items in EconPapers)
Date: 2023
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