An extension of the method of brackets. Part 1

DOI10.1515/math-2017-0100zbMath1373.33006arXiv1707.08942OpenAlexW2963076953MaRDI QIDQ2409581

Karen T. Kohl, Victor H. Moll, Lin Jiu, Ivan Gonzalez

Publication date: 12 October 2017

Published in: Open Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1707.08942

zbMATH Keywords

divergent seriesmethod of bracketsdefinite integrals

Mathematics Subject Classification ID

Classical hypergeometric functions, ({}_2F_1) (33C05) Symbolic computation of special functions (Gosper and Zeilberger algorithms, etc.) (33F10)

Related Items (3)

Hypergeometric structures in Feynman integrals ⋮ Celestial insights into the S-matrix bootstrap ⋮ An extension of the method of brackets. Part 2

Uses Software

• DLMF

Cites Work

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• Pochhammer symbol with negative indices. A new rule for the method of brackets
• Optimized negative dimensional integration method (NDIM) and multiloop Feynman diagram calculation
• Definite integrals by the method of brackets. I
• Two infinite integrals of products of modified Bessel functions and powers of logarithms
• Ramanujan's master theorem
• The method of brackets. Part 2: examples and applications
• The integrals in Gradshteyn and Rhyzik. Part 1: A family of logarithmic integrals

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