Mellin-Barnes and the method of brackets: https://arxiv.org/abs/2108.09421
Ivan Gonzalez, Igor Kondrashuk, Victor H. Moll, Luis M. Recabarren
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.
Subjects: Complex Variables (math.CV); High Energy Physics - Phenomenology (hep-ph); Mathematical Physics (math-ph); Number Theory (math.NT)