Triple Integral involving the Product of the Logarithmic and Bessel Functions expressed in terms of the Lerch Function

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 / 02期

基金：

加拿大自然科学与工程研究理事会;

关键词：

Triple integral; Bessel function; Catalan's constant; Apery's constant; Cauchy integral;

D O I：

10.29020/nybg.ejpam.v15i2.4203

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

The aim of the present document is to evaluate a triple integral involving the product a general class of logarithmic, special and exponential functions. Importance of our results lies in the fact that they involve the Bessel function of the First Kind, which is used in a wide range of areas spanning Science and Engineering. Further we establish some special cases.

引用

页码：390 / 396

页数：7

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