2004/11/30 by M.Yu. Kalmykov, M. Yu. Kalmykov, A. Sheplyakov · 2 citations
Computer Science · Mathematics · Physics and Astronomy · #Algebra over a field #Algebraic and Geometric Analysis #Algorithm #Applied mathematics #Arithmetic #Computer science #Discrete mathematics #Feynman diagram #Geometry #Integer (computer science) #Mathematical physics #Mathematics #Numerical Methods and Algorithms #Order (exchange) #Particle physics theoretical and experimental studies #Pure mathematics #Sine #cs.MS #cs.NA #hep-ph #math-ph #math.MP #math.NA
paper · pdf · doi:10.1016/j.cpc.2005.04.013
published as Comput.Phys.Commun. 172 (2005) 45-59 · 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
arxiv created 2005/04/24 · openalex publication_date 2005/06/14 · openalex created_date 2016/06/24 · arxiv updated 2016/09/06 · openalex updated_date 2026/08/05
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.