Algorithms to evaluate multiple sums for loop computations

DOI10.1063/1.4795288zbMath1281.81060arXiv1211.5204OpenAlexW3103670979MaRDI QIDQ5397761

C. Anzai, Y. Sumino

Publication date: 24 February 2014

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

Full work available at URL: https://arxiv.org/abs/1211.5204

Mathematics Subject Classification ID

Other elementary particle theory in quantum theory (81V25) Applications of hypergeometric functions (33C90)

Related Items

Hypergeometric functions differential reduction (HYPERDIRE): MATHEMATICA based packages for differential reduction of generalized hypergeometric functions: \(F_D\) and \(F_S\) Horn-type hypergeometric functions of three variables ⋮ Full formula for heavy quarkonium energy levels at next-to-next-to-next-to-leading order ⋮ Derivatives of Horn hypergeometric functions with respect to their parameters ⋮ A generalized Crewther relation and the V scheme: analytic results in fourth-order perturbative QCD and QED ⋮ Hypergeometric Functions and Feynman Diagrams

Uses Software

• Mathematica
• MBasymptotics
• MBresolve
• HYPERDIRE

Cites Work

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