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A Quadruple Integral Involving the Hermite Polynomial Hn(x): Derivation and Evaluation

Authors :
Robert Reynolds
Allan Stauffer
Source :
European Journal of Pure and Applied Mathematics. 15:100-105
Publication Year :
2022
Publisher :
New York Business Global LLC, 2022.

Abstract

A closed form expression of a quadruple integral involving the Hermite polynomial $H_{n}(x)$ is derived. Special cases are expressed in terms of special functions and fundamental constants. All the results in this work are new.

Details

ISSN :
13075543
Volume :
15
Database :
OpenAIRE
Journal :
European Journal of Pure and Applied Mathematics
Accession number :
edsair.doi.dedup.....66afd7cafdcca6f6a652c31fc17a5f2b
Full Text :
https://doi.org/10.29020/nybg.ejpam.v15i1.4242