2000/10/20 by Odd Magne Ogreid, Per Osland
Physics and Astronomy · Mathematics · #math-ph #hep-th #math.MP
published as J.Comput.Appl.Math. 140 (2002) 659-671 · 10 pages, LaTeX, 2 figures; presented at ICCAM-2000
arxiv created 2000/10/20 · arxiv updated 2009/11/30
Results are presented for some infinite series appearing in Feynman diagram calculations, many of which are similar to the Euler series. These include both one-, two- and three-dimensional series. The sums of these series can be evaluated with the help of various integral representations for hypergeometric functions, and expressed in terms of ζ(2), ζ(3), the Catalan constant G and \rm Cl2(π/3) where \rm Cl2(θ) is Clausen's function.