On the closed form of Clausen functions

被引：1

作者：

Trickovic, Slobodan B. ^{[1
,3
]}

Stankovic, Miomir S. ^{[2
]}

机构：

[1] Univ Nis, Fac Civil Engn, Dept Math, Nish, Serbia

[2] Serbian Acad Arts & Sci, Math Inst, Dept Math, Belgrade, Serbia

[3] Univ Nis, Fac Civil Engn, Dept Math, Aleksandra Medvedeva 14, Nish 18000, Serbia

来源：

INTEGRAL TRANSFORMS AND SPECIAL FUNCTIONS | 2023年 / 34卷 / 06期

关键词：

Clausen functions; Riemann's zeta function; Hurwitz's zeta function; digamma function; harmonic numbers;

D O I：

10.1080/10652469.2022.2149961

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We derive explicit closed-form formulas for the standard ClausenfunctionsCl(2m)(x)andCl(2m-1)(x)intermsoftheHurwitzzetafunction,wheremis a positive integer.

引用

页码：469 / 477

页数：9

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