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Symbolic Expansion of Transcendental Functions

Mathematical Physics 2008-11-26 v2 Symbolic Computation High Energy Physics - Phenomenology math.MP

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.

Cite

@article{arxiv.math-ph/0201011,
  title  = {Symbolic Expansion of Transcendental Functions},
  author = {Stefan Weinzierl},
  journal= {arXiv preprint arXiv:math-ph/0201011},
  year   = {2008}
}

Comments

Latex, 16 pages, minor changes