Symbolic expansion of transcendental functions

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