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

Abstract We extend the Gegenbauer Polynomials technique to evaluate a class of complicated Feynman diagrams. New results in the form of the 3F2-hypergeometrical series of unit argument, are presented. As a by-product, we present a new transformation rule for the 3F2-hypergeometric series with argument — 1.