32 citations · 35 across the 6 of their papers we have counts for
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Hypergeometric Feynman Integrals
René Pascal Klausen
In this thesis we will study Feynman integrals from the perspective of A-hypergeometric functions, a generalization of hypergeometric functions which goes back to Gelfand, Kapranov…
Kinematic singularities of Feynman integrals and principal A-determinants
René Pascal Klausen
We consider the analytic properties of Feynman integrals from the perspective of general A-discriminants and A-hypergeometric functions introduced by Gelfand,Kapranov and Zelevinsk…
Hypergeometric Series Representations of Feynman Integrals by GKZ Hypergeometric Systems
René Pascal Klausen
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.…
The number of master integrals as Euler characteristic
Thomas Bitoun, Christian Bogner, René Pascal Klausen +1
We give a brief introduction to a parametric approach for the derivation of shift relations between Feynman integrals and a result on the number of master integrals. The shift rela…