When epsilon-expansion of hypergeometric functions is expressible in terms of multiple polylogarithms: the two-variables examples
arXiv:1212.4719
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.
arXiv comment9 pages, talk given at the conference "Loops and Legs in Quantum Field Theory", Wernigerode, Germany, 15-20 April 2012
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Cited by in corpus (5)
- HYPERgeometric functions DIfferential REduction: MATHEMATICA based packages for differential reduction of generalized hypergeometric functions: Horn hypergeometric functions of two variables
- HYPERDIRE: HYPERgeometric functions DIfferential REduction: MATHEMATICA based packages for differential reduction of generalized hypergeometric functions pFq, F1,F2,F3,F4
- HYPERgeometric functions DIfferential REduction: Mathematica-based packages for the differential reduction of generalizedhypergeometric functions: Fc hypergeometric function of three variables
- Expansion of hypergeometric functions in terms of polylogarithms with nontrivial variable change
- Counting master integrals: Integration by parts vs. functional equations