English

On the Method of Brackets: Rules, Examples, Interpretations and Modifications

Classical Analysis and ODEs 2017-10-11 v4

Abstract

The method of brackets, consisting of a small number of heuristic rules, was created by Ivan Gonzalez for the evaluation of definite integrals appearing in the resolution of Feynman diagrams. The current work verifies each step of this method, proves the independence on different representations of the integrand, and also modifies the rule by further considering analytic continuation.

Cite

@article{arxiv.1506.06985,
  title  = {On the Method of Brackets: Rules, Examples, Interpretations and Modifications},
  author = {Lin Jiu},
  journal= {arXiv preprint arXiv:1506.06985},
  year   = {2017}
}

Comments

This paper has been combined with another paper and published

R2 v1 2026-06-22T09:58:35.287Z