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Pochhammer Symbol with Negative Indices. A New Rule for the Method of Brackets

arXiv:1508.00056 · doi:10.1515/math-2016-0063

Abstract

The method of brackets is a method of integration based upon a small number of heuristic rules. Some of these have been made rigorous. An example of an integral involving the Bessel function is used to motivate a new evaluation rule.