On generalized harmonic number sums

被引：17

作者：

Coffey, Mark W. ^{[1
]}

Lubbers, Nicholas ^{[1
]}

机构：

[1] Colorado Sch Mines, Dept Phys, Golden, CO 80401 USA

来源：

APPLIED MATHEMATICS AND COMPUTATION | 2010年 / 217卷 / 02期

关键词：

Generalized harmonic number; Polygamma function; Polylogarithm function; CONSTANTS; REPRESENTATIONS;

D O I：

10.1016/j.amc.2010.06.006

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We evaluate generalized harmonic number sums with parameter in terms of values of polylogarithm functions, and several examples are given. Instances of such sums occur in diverse areas including analytic number theory, and in calculations of high energy, nuclear, and atomic physics. (C) 2010 Elsevier Inc. All rights reserved.

引用

页码：689 / 698

页数：10

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