https://doi.org/10.1140/epjc/s10052-021-09977-x
Regular Article - Theoretical Physics
Mellin–Barnes integrals and the method of brackets
1
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
Received:
20
August
2021
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.
© The Author(s) 2022
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