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

Authors

DOI:

https://doi.org/10.29020/nybg.ejpam.v15i1.4242

Keywords:

Hermite polynomial, quadruple integral, Hurwitz-Lerch zeta function, Cauchy integral formula

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.

Author Biography

Robert Reynolds, York University

I enjoy, reading, walking, playing tennis. I practise mathemtics in my spare time.

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Published

2022-01-31

How to Cite

Reynolds, R., & Stauffer, A. (2022). A Quadruple Integral Involving the Hermite Polynomial Hn(x): Derivation and Evaluation. European Journal of Pure and Applied Mathematics, 15(1), 100–105. https://doi.org/10.29020/nybg.ejpam.v15i1.4242

Issue

Vol. 15 No. 1: (January 2022)

Section

Nonlinear Analysis

License

Upon acceptance of an article by the journal, the author(s) accept(s) the transfer of copyright of the article to European Journal of Pure and Applied Mathematics.

European Journal of Pure and Applied Mathematics will be Copyright Holder.

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