LSJK - a C++ library for arbitrary-precision numeric evaluation of the generalized log-sine functions

Abstract

Generalized log-sine functions appear in higher order epsilon-expansion of different Feynman diagrams. We present an algorithm for numerical evaluation of these functions of real argument. This algorithm is implemented as C++ library with arbitrary-precision arithmetics for integer 0 < k < 9 and j > 1. Some new relations and representations for the generalized log-sine functions are given.

Comments: 16 pages,LaTeX; to be published in Comp.Phys.Comm. v.2: typos in Eq.(3.1) corrected; new section(3.3) added with detailed description of the installation instructions