Summing one- and two-dimensional series related to the Euler series

被引：16

作者：

Ogreid, OM

Osland, P

机构：

[1] DESY, Deutsch Elektronen Synchrotron, D-22603 Hamburg, Germany

[2] Univ Bergen, Dept Phys, N-5007 Bergen, Norway

来源：

JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS | 1998年 / 98卷 / 02期

关键词：

Euler series; hypergeometric series; Riemann zeta function; Psi function; polylogarithms; Clausen's function;

D O I：

10.1016/S0377-0427(98)00137-X

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We present results for some infinite series appearing in Feynman diagram calculations, many of which are similar to the Euler series. These include both one-dimensional and two-dimensional series. Most of these series can be expressed in terms of zeta(2), zeta(3), the Catalan constant G and Cl-2(pi/3) where Cl-2(theta) is Clausen's function. (C) 1998 Elsevier Science B.V. All rights reserved.

引用

页码：245 / 271

页数：27

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