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An extension of the method of brackets. Part 1 [PDF]
Open Mathematics, 2017 The method of brackets is an efficient method for the evaluation of alarge class of definite integrals on the half-line. It is based on a small collection of rules, some of which are heuristic.
Gonzalez Ivan +3 more
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Compatibility of the method of brackets with classical integration rules [PDF]
Open Mathematics, 2023 The method of brackets is a symbolic approach to the computation of integrals over Rn{{\mathbb{R}}}^{n} based on a deep result by Ramanujan. Its usefulness to obtain new and difficult integrals has been demonstrated many times in the last few years. This
Bradshaw Zachary +4 more
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Mellin–Barnes integrals and the method of brackets [PDF]
European Physical Journal C: Particles and Fields, 2022 The method of brackets is a method for the evaluation of definite integrals based on a small number of rules. This is employed here for the evaluation of Mellin–Barnes integral.
Ivan Gonzalez +3 more
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Method of Brackets and Feynman diagrams evaluation [PDF]
Nuclear Physics B - Proceedings Supplements, 2010 In this work we present the relation between method of brackets and the master theorem of Ramanujan in the evaluation of multivariable integrals, in this case Feynman diagrams.Comment: 6 pages, 2 figures. Published in Proc. of 'Loops and Legs in Quantum
Anastasiou +10 more
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An extension of the method of brackets. Part 2 [PDF]
Open Mathematics, 2020 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
Gonzalez Ivan, Jiu Lin, Moll Victor H.
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Integrals of Frullani type and the method of brackets
Open Mathematics, 2017 The method of brackets is a collection of heuristic rules, some of which have being made rigorous, that provide a flexible, direct method for the evaluation of definite integrals.
Bravo Sergio +3 more
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Pochhammer symbol with negative indices. A new rule for the method of brackets
Open Mathematics, 2016 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.
Gonzalez Ivan, Jiu Lin, Moll Victor H
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The method of brackets. Part 2: examples and applications
, 2010 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.
Gonzalez, Ivan +2 more
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Analytic Expressions for Debye Functions and the Heat Capacity of a Solid
Mathematics, 2022 Analytic expressions for the N-dimensional Debye function are obtained by the method of brackets. The new expressions are suitable for the study of heat capacity of solids and the analysis of the asymptotic behavior of this function, both in the high and
Ivan Gonzalez +3 more
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The Shear Bond Strengths of Metal and Ceramic Brackets: An in-Vitro Comparative Study [PDF]
Journal of Clinical and Diagnostic Research, 2013 Aim: This study has compared the Shear Bond Strengths (SBSs) of ceramic brackets and metal brackets. Materials and Method: Forty freshly extracted, human maxillary first premolars were selected for bonding.
Y G Reddy +5 more
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