Some infinite series related to Feynman diagrams
Abstract
Description
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 ${\rm Cl}_2(π/3)$ where ${\rm Cl}_2(θ)$ is Clausen's function.
10 pages, LaTeX, 2 figures; presented at ICCAM-2000
10 pages, LaTeX, 2 figures; presented at ICCAM-2000