Differential Reduction Algorithms for Hypergeometric Functions Applied to Feynman Diagram Calculation
arXiv:0902.1352
Abstract
We describe the application of differential reduction algorithms for Feynman Diagram calculation. We illustrate the procedure in the context of generalized hypergeometric functions, and give an example for a type of q-loop bubble diagram.
6 pages, LaTeX, one eps figure, conference style file included. Related to a talk given by S.A. Yost at LCWS08/ILC08, Chicago, Nov. 16-20, 2008. [v1=v2]
References in corpus (3)
- Hypergeometric functions, their epsilon expansions and Feynman diagrams
- Differential Reduction Algorithms for the All-Order Epsilon Expansion of Hypergeometric Functions
- Representation of solutions of the Gauss hypergeometric equation by the multiple polylogarithms, functional relations of the multiple polylogarithms and relations of the multiple zeta values