55 citations · 89 across the 5 of their papers we have counts for
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Feynman Diagrams, Differential Reduction, and Hypergeometric Functions
M. Yu. Kalmykov, V. V. Bytev, Bernd A. Kniehl +2
We will present some (formal) arguments that any Feynman diagram can be understood as a particular case of a Horn-type multivariable hypergeometric function. The advantages and dis…
Hypergeometric functions, their epsilon expansions and Feynman diagrams
M. Yu. Kalmykov, Bernd A. Kniehl, B. F. L. Ward +1
We review the hypergeometric function approach to Feynman diagrams. Special consideration is given to the construction of the Laurent expansion. As an illustration, we describe a c…
All order epsilon-expansion of Gauss hypergeometric functions with integer and half/integer values of parameters
M. Yu. Kalmykov, B. F. L. Ward, S. Yost
It is proved that the Laurent expansion of the following Gauss hypergeometric functions, 2F1(I1+a*epsilon, I2+b*ep; I3+c*epsilon;z), 2F1(I1+a*epsilon, I2+b*epsilon;I3+1/2+c*epsilon…