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Elliptic Polylogarithms and Basic Hypergeometric Functions

By Giampiero Passarino

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.Comment: 14 pages, 3 figure

Topics: Mathematical Physics, High Energy Physics - Theory
Publisher: 'Springer Science and Business Media LLC'
Year: 2016
DOI identifier: 10.1140/epjc/s10052-017-4623-1
OAI identifier: oai:arXiv.org:1610.06207

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