Some infinite series related to Feynman diagrams

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dc.creatorOgreid, Odd Magne
dc.creatorOsland, Per
dc.date2000-10-20
dc.date.accessioned2026-07-25T22:14:01Z
dc.descriptionResults 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.
dc.description10 pages, LaTeX, 2 figures; presented at ICCAM-2000
dc.identifierhttps://arxiv.org/abs/math-ph/0010026
dc.identifierhttp://arxiv.org/abs/math-ph/0010026
dc.identifierJ.Comput.Appl.Math. 140 (2002) 659-671
dc.identifier.urihttps://dspace.dare.co.zw/handle/123456789/87137
dc.subjectMathematical Physics
dc.subjectHigh Energy Physics - Theory
dc.titleSome infinite series related to Feynman diagrams
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