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

Issue

Vol. 15 No. 1: (January 2022)

Section

Nonlinear Analysis

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How to Cite

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