Symbolic Expansion of Transcendental Functions

Details Symbolic Expansion of Transcendental Functions Symbolic Expansion of Transcendental Functions

2002-01-04

arxiv.org/abs/math-ph/0201011v2

Comput.Phys.Commun.145:357-370,2002

Physics

Mathematical Physics

Latex, 16 pages, minor changes

Scientific paper

10.1016/S0010-4655(02)00261-8

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.

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