Approximations to -, di- and tri-logarithms

作者：

Highlights：

•

摘要

We propose hypergeometric constructions of simultaneous approximations to polylogarithms. These approximations suit for computing the values of polylogarithms and satisfy 4-term Apéry-like (polynomial) recursions.

论文关键词：33C20,33F10,11J70,11M06,Dilogarithm,Trilogarithm,Zeta value,Hypergeometric series,Algorithm of creative telescoping,Polynomial recursion,Apéry's approximations

论文评审过程：Received 26 August 2004, Available online 27 March 2006.

论文官网地址：https://doi.org/10.1016/j.cam.2005.04.076