Hypergeometric functions, their epsilon expansions and Feynman diagrams

2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/172751We review the hypergeometric function approach to Feynman diagrams. Special consideration is given to the construction of the Laurent expansion. As an illustration, we describe a collection of physically important one-loop vertex diagrams for which this approach is useful.15 pages, Latex, 1-eps figure; v2: few references added; v3: style corrections; v4: typo in Eq.(2) is corrected; based on a talk given by M.Kalmykov at 15th International Seminar on High-Energy Physics: Quarks-2008,Sergiev Posad, Russia, 23-29 May, 2008. The FORM code is available via the WWW at http://theor.jinr.ru/~kalmykov/hypergeom/hyper.htmlHigh Energy Physics - TheoryHigh Energy Physics - PhenomenologyMathematical PhysicsClassical Analysis and ODEsHypergeometric functions, their epsilon expansions and Feynman diagramstext