Integral representations for a generalized Hermite linear functional

2008/05/19 by Roberto S. Costas-Santos, Costas-Santos, R. S.
Computer Science · Mathematics · Physics and Astronomy · #30E20 #33B15 #33C45 #42C05 #Classical Analysis and ODEs (math.CA) #Electromagnetic Scattering and Analysis #FOS: Mathematics #General Mathematics (math.GM) #Mathematical functions and polynomials #Matrix Theory and Algorithms

paper · pdf · doi:10.48550/arxiv.0805.2772

openalex publication_date 2008/05/19 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

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.

Citations

• The Askey-scheme of hypergeometric orthogonal polynomials and its q-analogue

Related

• Euler-type integrals for the generalized hypergeometric matrix function
• Integral Representations for the Euler-Mascheroni Constant γ
• Integral representation of the Mittag-Leffler function
• Regularized integral representations of the reciprocal Gamma function
• The generalized gamma functions