On the Hurwitz function for rational arguments

被引：24

作者：

Adamchik, V. S. ^{[1
]}

机构：

[1] Carnegie Mellon Univ, Dept Comp Sci, Pittsburgh, PA 15213 USA

来源：

APPLIED MATHEMATICS AND COMPUTATION | 2007年 / 187卷 / 01期

基金：

美国国家科学基金会;

关键词：

Riemann zeta function; Hurwitz zeta function; multiple gamma function; stirling numbers; Bernoulli numbers; Euler numbers; Glaisher's numbers; derivatives of the cotangent;

D O I：

10.1016/j.amc.2006.08.096

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

Using functional properties of the Hurwitz zeta function and symbolic derivatives of the trigonometric functions, the function zeta(2n + l,p/q) is expressed in several ways in terms of other mathematical functions and numbers, including in particular the Glaisher numbers. (C) 2006 Elsevier Inc. All rights reserved.

引用

页码：3 / 12

页数：10

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