Symbolic Expansion of Transcendental Functions

Preprint

25 February 2002

preprint
Published by arXiv in arXiv

https://doi.org/10.48550/arXiv.math-ph/0201011

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.

Keywords

TRANSCENDENTAL FUNCTIONS HIGHER
HIGHER TRANSCENDENTAL
SYMBOLIC EXPANSION
COMPUTER PROGRAM
FUNCTION OCCUR
ALGORITHMS
ALGEBRA

All Related Versions

Version 1, 2002-01-04, ArXiv
Version 2, 2002-02-25, ArXiv
Published version: Computer Physics Communications, 145 (3), 357.

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