HPL, a Mathematica implementation of the harmonic polylogarithms

被引：294

作者：

Maître, D ^{[1
]}

机构：

[1] Univ Zurich, Inst Theoret Phys, CH-8057 Zurich, Switzerland

来源：

COMPUTER PHYSICS COMMUNICATIONS | 2006年 / 174卷 / 03期

关键词：

harmonic polylogarithms; multiple zeta values; Mathematica;

D O I：

10.1016/j.cpc.2005.10.008

中图分类号：

TP39 [计算机的应用];

学科分类号：

081203 ; 0835 ;

摘要：

In this paper, we present an implementation of the harmonic polylogarithm of Remiddi and Vermaseren [E. Remiddi, J.A.M. Vermaseren, Int. J. Modem Phys. A 15 (2000) 725, hep-ph/9905237] for Mathematica. It contains an implementation of the product algebra, the derivative properties, series expansion and numerical evaluation. The analytic continuation has been treated carefully, allowing the user to keep the control over the definition of the sign of the imaginary parts. Many options enables the user to adapt the behavior of the package to his specific problem.

引用

页码：222 / 240

页数：19

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