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

Generalized log-sine functions Ls (k) j (θ) appear in higher order ε-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 ≥ 2. Some new relations and representations for the generalized log-sine functions are given. Supported by RFBR grant # 04-02-17192 and the Heisenberg-Landau Programme. Email address: [email protected] Supported by RFBR grant # 02-02-16889, by grant of the ministry of science and technology policy of the Russian Federation # 2339.2003.2, DFG grant 436 RUS 113/626/0-1 and the Heisenberg-Landau Programme E-mail: [email protected] PROGRAM SUMMARY Title of program: lsjk Version: 0.0.3 Release: 0.0.3 Catalogue number : Program obtained from: http://thsun1.jinr.ru/~varg/dist/ E-mail: [email protected] Licensing terms : GNU General Public Licence Computers: all Operating systems: POSIX Programming language: C++ Memory required to execute: Depending on the complexity of the problem, at least 32Mb RAM recommended. Other programs called : CLN library for arbitrary-precision arithmetics is required. External files needed : none