A Quadruple Integral Involving the Hermite Polynomial Hn(x): Derivation and Evaluation
DOI:
https://doi.org/10.29020/nybg.ejpam.v15i1.4242Keywords:
Hermite polynomial, quadruple integral, Hurwitz-Lerch zeta function, Cauchy integral formulaAbstract
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.Downloads
Published
2022-01-31
Issue
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.
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