On the Fractional Sums of Some Special Functions

被引：2

作者：

Uzun, Banu Unalmis ^{[1
]}

机构：

[1] Isik Univ, Dept Math, TR-34980 Istanbul, Turkey

来源：

RESULTS IN MATHEMATICS | 2019年 / 74卷 / 01期

关键词：

Fractional sum; polylogarithm; Lerch transcendent; Riemann function; Hurwitz function; EULER-TYPE FORMULA; NONINTEGER NUMBER; TERMS; ADD;

D O I：

10.1007/s00025-019-0964-4

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We obtain new relations involving the Lerch transcendent and establish some closed-form expressions using special functions like the Riemann and Hurwitz zeta functions and fractional sums. We also get some formulae for the specific values of the derivative of Lerch transcendent.

引用

页数：11

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