Derivatives of the Pochhammer and reciprocal Pochhammer symbols and their use in epsilon-expansions of Appell and Kampé de Fériet functions

DOI10.1063/1.4870619zbMath1292.81102OpenAlexW2042594724MaRDI QIDQ5171336

David Greynat, Grégory Vulvert, Javier Sesma

Publication date: 26 July 2014

Published in: Journal of Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1063/1.4870619

Mathematics Subject Classification ID

Perturbative methods of renormalization applied to problems in quantum field theory (81T15) Feynman diagrams (81T18) Appell, Horn and Lauricella functions (33C65)

Related Items (9)

The practical Gauss type rules for Hadamard finite-part integrals using Puiseux expansions ⋮ The Roman harmonic numbers revisited ⋮ Hypergeometric structures in Feynman integrals ⋮ Derivatives of Horn hypergeometric functions with respect to their parameters ⋮ \texttt{MultiHypExp}: a \textsc{Mathematica} package for expanding multivariate hypergeometric functions in terms of multiple polylogarithms ⋮ \(\epsilon\)-expansion of multivariable hypergeometric functions appearing in Feynman integral calculus ⋮ Derivatives of any Horn-type hypergeometric functions with respect to their parameters ⋮ Analytic periods via twisted symmetric squares ⋮ Hypergeometric Functions and Feynman Diagrams

Uses Software

• DLMF
• Nestedsums

Cites Work

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