Definite integrals by the method of brackets. I

DOI10.1016/j.aam.2009.11.003zbMath1190.33003arXiv0812.3356OpenAlexW1517253325MaRDI QIDQ972857

Ivan Gonzalez, Victor H. Moll

Publication date: 21 May 2010

Published in: Advances in Applied Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/0812.3356

zbMATH Keywords

hypergeometric functionsFeynman diagramsdefinite integrals

Mathematics Subject Classification ID

Feynman diagrams (81T18) Classical hypergeometric functions, ({}_2F_1) (33C05) Hypergeometric functions associated with root systems (33C67)

Related Items (13)

From integrals to multi-sum identities ⋮ Quadratic and quartic integrals using the method of brackets ⋮ Pochhammer symbol with negative indices. A new rule for the method of brackets ⋮ An extension of the method of brackets. Part 1 ⋮ \texttt{AlgRel.wl}: algebraic relations for the product of propagators in Feynman integrals ⋮ Compatibility of the method of brackets with classical integration rules ⋮ Hypergeometric structures in Feynman integrals ⋮ An operational calculus generalization of Ramanujan's master theorem ⋮ Some new results related to a class of generalized Hurwitz zeta function ⋮ Ramanujan's master theorem applied to the evaluation of Feynman diagrams ⋮ The moments of the hydrogen atom by the method of brackets ⋮ Integrals of Frullani type and the method of brackets ⋮ An extension of the method of brackets. Part 2

Cites Work

• Optimized negative dimensional integration method (NDIM) and multiloop Feynman diagram calculation
• Computing one of Victor Moll's irresistible integrals with computer algebra
• A remarkable sequence of integers
• A formula for a quartic integral: a survey of old proofs and some new ones
• Integration in the umbral calculus
• Quantum field theory techniques in graphical enumeration
• Application of the negative-dimension approach to massless scalar box integrals
• Massless and massive one-loop three-point functions in negative dimensional approach
• Some exact results for N-point massive Feynman integrals
• General massive one-loop off-shell three-point functions
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