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Mellin-Barnes and the method of brackets

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.

preprint2021arXivOpen access
Ivan GonzalezIgor KondrashukVictor H. MollLuis M. Recabarren
math.CVhep-phmath-phmath.MPmath.NT
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Ivan GonzalezIgor KondrashukVictor H. MollLuis M. Recabarren

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