A quadruple integral involving the Hermite polynomial Hn(x): derivation and evaluation

被引：0

作者：

Reynolds, Robert ^{[1
]}

Stauffer, Allan ^{[1
]}

机构：

[1] York Univ, Fac Sci, Dept Math & Stat, Toronto, ON M3J 1P3, Canada

来源：

EUROPEAN JOURNAL OF PURE AND APPLIED MATHEMATICS | 2022年 / 15卷 / 01期

基金：

加拿大自然科学与工程研究理事会;

关键词：

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

D O I：

10.29020/nybg.ejpam.v15i1.4242

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

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.

引用

页码：100 / 105

页数：6

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