Definite integral of a hyperbolic quotient function 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 | 2021年 / 14卷 / 04期

关键词：

Entries in Gradshteyn and Ryzhik; Mellin transform; Hyperbolic function; Definite integral; Catalan's constant;

D O I：

10.29020/nybg.ejpam.v14i4.4029

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In applied sciences it is always useful to improve the catalogue of definite integrals available in tables. This present paper is a compendium of definite integrals involving a hyperbolic quotient function expressed in terms of the Lerch function. A substantial portion of the results are new.

引用

页码：1132 / 1147

页数：16

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