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arXiv · 2108.09421

Mellin-Barnes and the method of brackets

Ivan Gonzalez·Igor Kondrashuk·Victor H. Moll·Luis M. Recabarren
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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.

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Ivan Gonzalez, Igor Kondrashuk, Victor H. Moll, Luis M. Recabarren. 2021-08-21. Mellin-Barnes and the method of brackets. https://doi.org/10.1140/epjc%2Fs10052-021-09977-x

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