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

JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS

卷:98

Article

Ogreid, OM ; Osland, P

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

DOI  :  10.1016/S0377-0427(98)00137-X

来源: Elsevier

【 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.

【 授权许可】

Free