Harmonic polylogarithms

被引：828

作者：

Remiddi, E

Vermaseren, JAM

机构：

[1] Univ Karlsruhe, Inst Theoret TeilchenPhys, D-76128 Karlsruhe, Germany

[2] Univ Bologna, Dipartimento Fis, I-40126 Bologna, Italy

[3] Ist Nazl Fis Nucl, Sez Bologna, I-40126 Bologna, Italy

[4] NIKHEF, NL-1009 DB Amsterdam, Netherlands

来源：

INTERNATIONAL JOURNAL OF MODERN PHYSICS A | 2000年 / 15卷 / 05期

关键词：

D O I：

10.1142/S0217751X00000367

中图分类号：

O57 [原子核物理学、高能物理学];

学科分类号：

070202 ;

摘要：

The harmonic polylogarithms (hpl's) are introduced. They are a generalization of Nielsen's polylogarithms, satisfying a product algebra (the product of two hpl's is in turn a combination of hpl's) and forming a set closed under the transformation of the arguments x = 1/z and x = (1- t)/(1 + t). The coefficients of their expansions and their Mellin transforms are harmonic sums.

引用

页码：725 / 754

页数：30

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