Symbolic expansion of transcendental functions

Published: 01-06-2002| Version 1 | DOI: 10.17632/gdsbvtxknv.1
Stefan Weinzierl


This program has been imported from the CPC Program Library held at Queen's University Belfast (1969-2018) Abstract Higher transcendental function occur frequently in the calculation of Feynman integrals in quantum field theory. Their expansion in a small parameter is a non-trivial task. We report on a computer program which allows the systematic expansion of certain classes of functions. The algorithms are based on the Hopf algebra of nested sums. The program is written in C++ and uses the GiNaC library. Title of program: nestedsums v 1.0 Catalogue Id: ADPX_v1_0 Nature of problem Systematic expansion of higher transcendental functions in a small parameter. These expansions occur, for example, in the calculation of loop integrals in quantum field theory within dimensional regularization. Versions of this program held in the CPC repository in Mendeley Data ADPX_v1_0; nestedsums v 1.0; 10.1016/S0010-4655(02)00261-8