Elliptic Polylogarithms and Basic Hypergeometric Functions
Mathematical Physics
2017-04-05 v1 High Energy Physics - Theory
math.MP
Abstract
Multiple elliptic polylogarithms can be written as (multiple) integrals of products of basic hypergeometric functions. The latter are computable, to arbitrary precision, using a q-difference equation and q-contiguous relations.
Cite
@article{arxiv.1610.06207,
title = {Elliptic Polylogarithms and Basic Hypergeometric Functions},
author = {Giampiero Passarino},
journal= {arXiv preprint arXiv:1610.06207},
year = {2017}
}
Comments
14 pages, 3 figures