The Method of Brackets. Part 2: Examples and Applications

This article by Ivan Gonzalez, Victor H. Moll and Armin Straub has been published in Contemporary Mathematics ("Gems in Experimental Mathematics", Volume 517, 2010, Pages 157-171).

Abstract

A new heuristic method for the evaluation of definite integrals is presented. This method of brackets has its origin in methods developed for the evaluation of Feynman diagrams. The operational rules are described and the method is illustrated with several examples. The method of brackets reduces the evaluation of a large class of definite integrals to the solution of a linear system of equations.

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