Eur. Phys. J. C (2017) 77: 77
https://doi.org/10.1140/epjc/s10052-017-4623-1

Special Article - Tools for Experiment and Theory

Elliptic polylogarithms and basic hypergeometric functions

¹ Dipartimento di Fisica Teorica, Università di Torino, Turin, Italy
² INFN, Sezione di Torino, Turin, Italy

^* e-mail: giampiero@to.infn.it

Received: 30 November 2016
Accepted: 12 January 2017
Published online: 7 February 2017

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.