Expansion around half-integer values, binomial sums and inverse binomial sums

Stefan Weinzierl

doi:10.1063/1.1758319

Expansion around half-integer values, binomial sums and inverse binomial sums

高能物理 - 唯象学 2009-11-10 v1 高能物理 - 理论

作者: Stefan Weinzierl

在 arXiv 上查看 ↗ PDF ↗ DOI ↗

摘要

I consider the expansion of transcendental functions in a small parameter around rational numbers. This includes in particular the expansion around half-integer values. I present algorithms which are suitable for an implementation within a symbolic computer algebra system. The method is an extension of the technique of nested sums. The algorithms allow in addition the evaluation of binomial sums, inverse binomial sums and generalizations thereof.

关键词

special functions loop integrals in quantum field theory statistical algorithms

引用

@article{arxiv.hep-ph/0402131,
  title  = {Expansion around half-integer values, binomial sums and inverse binomial sums},
  author = {Stefan Weinzierl},
  journal= {arXiv preprint arXiv:hep-ph/0402131},
  year   = {2009}
}

备注

21 pages

Expansion around half-integer values, binomial sums and inverse binomial sums

摘要

关键词

引用

备注

相关论文