English

Differential Reduction Algorithms for Hypergeometric Functions Applied to Feynman Diagram Calculation

High Energy Physics - Theory 2009-02-11 v2 High Energy Physics - Phenomenology Mathematical Physics Analysis of PDEs math.MP

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.

Keywords

Cite

@article{arxiv.0902.1352,
  title  = {Differential Reduction Algorithms for Hypergeometric Functions Applied to Feynman Diagram Calculation},
  author = {V. V. Bytev and M. Kalmykov and B. A. Kniehl and B. F. L. Ward and S. A. Yost},
  journal= {arXiv preprint arXiv:0902.1352},
  year   = {2009}
}

Comments

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]

R2 v1 2026-06-21T12:09:09.698Z