Mellin-Barnes and the method of brackets
Complex Variables
2022-01-26 v1 High Energy Physics - Phenomenology
Mathematical Physics
math.MP
Number Theory
Abstract
The method of brackets is a method for the evaluation of definite integrals based on a small number of rules. This is employed here for the evaluation of Mellin-Barnes integral. The fundamental idea is to transform these integral representations into a bracket series to obtain their values. The expansion of the gamma function in such a series constitute the main part of this new application. The power and flexibility of this procedure is illustrated with a variety of examples.
Cite
@article{arxiv.2108.09421,
title = {Mellin-Barnes and the method of brackets},
author = {Ivan Gonzalez and Igor Kondrashuk and Victor H. Moll and Luis M. Recabarren},
journal= {arXiv preprint arXiv:2108.09421},
year = {2022}
}