Quadratic and quartic integrals using the method of brackets

zbMath1434.33007arXiv1909.00962MaRDI QIDQ5213015

Tanay Pathak, Sudeepan Datta, B. Ananthanarayan, Sumit Banik

Publication date: 31 January 2020

Full work available at URL: https://arxiv.org/abs/1909.00962

zbMATH Keywords

hypergeometric functionsmethod of bracketsquadratic integralsquartic integrals

Mathematics Subject Classification ID

Other functions defined by series and integrals (33E20) Classical hypergeometric functions, ({}_2F_1) (33C05)

Cites Work

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• 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
• Optimized negative dimensional integration method (NDIM) and multiloop Feynman diagram calculation
• Definite integrals by the method of brackets. I
• A formula for a quartic integral: a survey of old proofs and some new ones
• The method of brackets. Part 2: examples and applications
• The integrals in Gradshteyn and Ryzhik. Part 7: Elementary examples

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