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.
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页码：3 / 12
页数：10
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