When epsilon-expansion of hypergeometric functions is expressible in terms of multiple polylogarithms: the two-variables examples
High Energy Physics - Theory
2013-01-14 v1 Mathematical Physics
Classical Analysis and ODEs
math.MP
Abstract
In this talk, we discuss the algorithm for the construction of analytical coefficients of higher order epsilon expansion of some Horn type hypergeometric functions of two variables around rational values of parameters.
Keywords
Cite
@article{arxiv.1212.4719,
title = {When epsilon-expansion of hypergeometric functions is expressible in terms of multiple polylogarithms: the two-variables examples},
author = {Vladimir V. Bytev and Mikhail Yu. Kalmykov and Bernd A. Kniehl},
journal= {arXiv preprint arXiv:1212.4719},
year = {2013}
}
Comments
9 pages, talk given at the conference "Loops and Legs in Quantum Field Theory", Wernigerode, Germany, 15-20 April 2012