The Gegenbauer Polynomial Technique: the evaluation of a class of Feynman diagrams

A.V.Kotikov (ENSLAPP; JINR)

arxiv: hep-ph/9512270 · v1 · submitted 1995-12-11 · ✦ hep-ph · hep-th

The Gegenbauer Polynomial Technique: the evaluation of a class of Feynman diagrams

A.V.Kotikov (ENSLAPP , JINR) This is my paper

classification ✦ hep-ph hep-th

keywords argumentclassdiagramsfeynmangegenbauerseriestechniqueby-product

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We extend Gegenbauer Polynomials technique to evaluate a class of complicated Feynman diagrams. New results in the form of $_3F_2$-hypergeometrical series of unit argument, are presented. As a by-product, we present a new transformation rule for $_3F_2$-hypergeometric series with argument $-1$.

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