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

Abstract

We extend Gegenbauer Polynomials technique to evaluate a class of complicated Feynman diagrams. New results in the form of ${}_3{F}_2$-hypergeometrical series of unit argument, are presented. As a by-product, we present a new transformation rule for ${}_3{F}_2$-hypergeometric series with argument $-1$.

Comments: 10 pages, Latex without figures