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We show that almost all Feynman integrals as well as their coefficients in a Laurent series in dimensional regularization can be written in terms of Horn hypergeometric functions.
“Feynman Integrals as A-Hypergeometric Functions”, 2019
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Kazuhiko Aomoto, Michitake Kita and Toshitake Kohno · 2011
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“Euler–Mellin Integrals and A A -Hypergeometric Functions”, 2011
Christine Berkesch, Jens Forsgård and Mikael Passare · 2011
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“A Generalized Ramanujan Master Theorem Applied to the Evaluation of Feynman Diagrams”, 2011
Ivan Gonzalez, V.. Moll and Ivan Schmidt · 2011
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A.. Grozin · 2011
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Bernd. Kniehl and Oleg. Tarasov · 2011
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Mikhail Kalmykov and Bernd. Kniehl · 2012
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Roman. Lee and Andrei. Pomeransky · 2013
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Vladimir. Bytev, Mikhail Kalmykov and Sven-Olaf Moch · 2014
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“Derivatives of Horn-Type Hypergeometric Functions with Respect to Their Parameters”, 2017
V. Bytev, B. Kniehl and S. Moch · 2017
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“Laplace, Residue, and Euler Integral Representations of GKZ Hypergeometric Functions”, 2018
Saiei-Jaeyeong Matsubara-Heo · 2018
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“Toric Geometry and Regularization of Feynman Integrals”, 2018
Konrad Schultka · 2018
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