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Mellin–Barnes integrals and the method of brackets
oleh: Ivan Gonzalez, Igor Kondrashuk, Victor H. Moll, Luis M. Recabarren
| Format: | Article |
|---|---|
| Diterbitkan: | SpringerOpen 2022-01-01 |
Deskripsi
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.