When epsilon-expansion of hypergeometric functions is expressible in terms of multiple polylogarithms: the two-variables examples

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.

9 pages, talk given at the conference "Loops and Legs in Quantum Field Theory", Wernigerode, Germany, 15-20 April 2012

References in corpus (3)

• Gauss hypergeometric function: reduction, epsilon-expansion for integer/half-integer parameters and Feynman diagrams
• Series and epsilon-expansion of the hypergeometric functions
• Differential Reduction Algorithms for the All-Order Epsilon Expansion of Hypergeometric Functions

Cited by in corpus (1)

• Expansion of hypergeometric functions in terms of polylogarithms with nontrivial variable change