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The method of brackets. Part 2: examples and applications

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arxiv 1004.2062 v1 pith:KOCFUB32 submitted 2010-04-12 math-ph math.CAmath.MP

Ivan Gonzalez , Victor H. Moll , Armin Straub This is my paper · ORCID
classification math-phmath.CAmath.MP
keywords methodbracketsevaluationdefiniteexamplesintegralsapplicationsclass
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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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  1. Quadratic and quartic integrals using the method of brackets

    math-ph 2019-09 conditional novelty 5.0 of 10

    The method of brackets is applied to evaluate quadratic and quartic integrals, producing hypergeometric closed forms that extend known table entries and provide new identities.

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