The method of brackets. Part 2: examples and applications

2010/04/12 by Iván González, Gonzalez, Ivan, Victor H. Moll +3 · 1 citation
Mathematics · #33C05 #33C67 #81T18 #Algebraic and Geometric Analysis #Classical Analysis and ODEs (math.CA) #FOS: Mathematics #FOS: Physical sciences #Mathematical Physics (math-ph)

paper · pdf · doi:10.48550/arxiv.1004.2062

openalex publication_date 2010/04/12 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

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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