18 citations · 61 across the 11 of their papers we have counts for
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Four-loop beta function in N=2 supersymmetric Yang-Mills theory, dimensional reduction, and treatment of
M. A. Bezuglov, B. A. Kniehl, V. N. Velizhanin
Adopting the dimensional-reduction scheme, we diagrammatically compute, at four loops, the beta function of N=2 supersymmetric Yang-Mills theory, which is well known to vanish beyo…
High-precision numerical evaluation of Lauricella functions
M. A. Bezuglov, B. A. Kniehl, A. I. Onishchenko +1
We present a method for high-precision numerical evaluations of Lauricella functions, whose indices are linearly dependent on some parameter , in terms of their Lauren…
Expansion of hypergeometric functions in terms of polylogarithms with nontrivial variable change
M. A. Bezuglov, A. I. Onishchenko
Hypergeometric functions of one and many variables play an important role in various branches of modern physics and mathematics. Often we have hypergeometric functions with indices…
Calculation of master integrals in terms of elliptic multiple polylogarithms
Maxim Bezuglov
In modern quantum field theory, one of the most important tasks is the calculation of loop integrals. Loop integrals appear when evaluating the Feynman diagrams with one or more lo…