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.v15i2.4204
Subject(s) - mathematics , hermite polynomials , polynomial , hermite interpolation , expression (computer science) , pure mathematics , mathematical analysis , computer science , programming language
A closed form expression of a quadruple integral involving the Hermite polynomial Hn(x) is derived. Special cases are expressed in terms of special functions and fundamental constants. All the results in this work are new.