Symbolic Expansion of Transcendental Functions
<|reference_start|>Symbolic Expansion of Transcendental Functions: 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.<|reference_end|>
@article{weinzierl2002symbolic,
    title={Symbolic Expansion of Transcendental Functions},
    author={Stefan Weinzierl},
    journal={Comput.Phys.Commun.145:357-370,2002},
    year={2002},
    doi={10.1016/S0010-4655(02)00261-8},
    archivePrefix={arXiv},
    eprint={math-ph/0201011},
    primaryClass={math-ph cs.SC hep-ph math.MP}
}