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

Published: 15 October 2005| Version 1 | DOI: 10.17632/4bg8y9thpf.1
M.Yu. Kalmykov, A. Sheplyakov


Abstract Generalized log-sine functions Ls j ( k ) ( θ ) appear in higher order ɛ-expansion of different Feynman diagrams. We present an algorithm for the numerical evaluation of these functions for real arguments. This algorithm is implemented as a C++ library with arbitrary-precision arithmetics for integer 0 ⩽ k ⩽ 9 and j ⩾ 2 . Some new relations and representations of the generalized log-sine functions are given. Title of program: lsjk Catalogue Id: ADVS_v1_0 Nature of problem Numerical evaluation of the generalized log-sine functions for real argument in the region 0 < θ < π. These functions appear in Feynman integrals. Versions of this program held in the CPC repository in Mendeley Data ADVS_v1_0; lsjk; 10.1016/j.cpc.2005.04.013 This program has been imported from the CPC Program Library held at Queen's University Belfast (1969-2018)



Computational Physics, Computational Method