Some methods for the evaluation of complicated Feynman integrals

Abstract

We discuss a progress in calculations of Feynman integrals based on the Gegenbauer Polynomial Technique and the Differential Equation Method. We demonstrate the results for a class of two-point two-loop diagrams and the evaluation of most complicated part of O(1/N^3) contributions to critical exponents of \phi^4-theory. An illustration of the results obtained with help of above methods is considered.

Comments: 22 pages, latex, 2 figures. Talk presented at the XXXV Winter School, Repino, S'Peterburg, February 2001