An extension of the method of brackets. Part 2
Fecha
2020
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De Gruyter
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Resumen
The method of brackets, developed in the context of evaluation of integrals coming from Feynman diagrams, is a procedure to evaluate definite integrals over the half-line. This method consists of a small number of operational rules devoted to convert the integral into a bracket series. A second small set of rules evaluates this bracket series and produces the result as a regular series. The work presented here combines this method with the classical Mellin transform to extend the class of integrands where the method of brackets can be applied. A selected number of examples are used to illustrate this procedure.
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DEFINITE INTEGRALS, METHOD OF BRACKETS, MELLIN TRANSFORM, BESSEL FUNCTIONS