Special functions of mathematical physics, generalized hypergeometric series (functions), higher polylogarithms functions; multiple sums; higher order calculations (radiative corrections) in the electroweak Standard Model and in QCD.

1. Davydychev, A.I., Kalmykov, M.Yu., “New results for the epsilon expansion of certain one, two and three loop Feynman diagrams”, Nuclear Phys. B, 605 (2001), 266–318
2. Davydychev, A.I., Kalmykov, M.Yu., “Massive Feynman diagrams and inverse binomial sums”, Nuclear Phys. B, 699 (2004), 3–64
3. Kalmykov, M.Yu., “Gauss hypergeometric function: reduction, epsilon-expansion for integer/half-integer parameters and Feynman diagrams.”, J. High Energy Phys., 2006, no. 4, 056
4. Kalmykov, M.Yu, Ward, Bennie F. L., Yost, Scott, “All order epsilon-expansion of Gauss hypergeometric functions with integer and half/integer values of parameters.”, J. High Energy Phys., 2007, no. 2, 040
5. Vladimir V. Bytev, Mikhail Yu. Kalmykov, Bernd A. Kniehl, “Differential reduction of generalized hypergeometric functions from Feynman diagrams: One-variable case”, Nuclear Physics B, 836 (2010), 129-170

• The University of Hamburg
• Joint Institute for Nuclear Research, Dubna, Moscow region