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Method of Brackets and Feynman diagrams evaluation

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arxiv 1008.2148 v1 pith:B5Y3LZSV submitted 2010-08-12 hep-th

classification hep-th
keywords bracketsdiagramsevaluationfeynmanmethodcaseintegralsmaster
verification ladder T0 review T1 audit T2 compute T3 formal
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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.

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Cited by 2 Pith papers

Reviewed papers in the Pith corpus that reference this work. Sorted by Pith novelty score. Full citation record

  1. Proof of a Conjectured Ramanujan Type Master Theorem for Powers of the Cosecant

    math.CV 2026-07 accept novelty 7.0 of 10

    For analytic g of exponential type below mπ, the Mellin transform of the residue series built from P_m(d/dz+log x)g equals (−1)^{m−1}(m−1)!π^m csc^m(πs)g(−s).

  2. 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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