Open AccessA Quadruple Integral Involving the Hermite Polynomial Hn(x): Derivation and Evaluation
Author(s) -
Robert Reynolds,
A D Stauffer
Publication year - 2022
Publication title -
european journal of pure and applied mathematics
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.245
H-Index - 5
ISSN - 1307-5543
DOI - 10.29020/nybg.ejpam.v15i1.4242
Subject(s) - mathematics , hermite polynomials , polynomial , hermite interpolation , pure mathematics , expression (computer science) , algebra over a field , mathematical analysis , computer science , programming language
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.