Regular Article - Theoretical Physics
Mellin–Barnes integrals and the method of brackets
Instituto de Física y Astronomía, Universidad de Valparaiso, Gran Bretaña 1111, Valparaiso, Chile
2 Grupo de Matemática Aplicada, Grupo de Física de Altas Energías, Centro de Ciencias Exactas, Departmento de Ciencias Básicas, Universidad del Bío-Bío, Campus Fernando May, Av. Andres Bello 720, Casilla 447, Chillán, Chile
3 Department of Mathematics, Tulane University, 70118, New Orleans, LA, USA
4 Departamento de Física, Universidad Santa Maria, Valparaiso, Chile
Accepted: 28 December 2021
Published online: 11 January 2022
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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