1.1k citations · 1.7k across the 56 of their papers we have counts for
5 papers · 1 filter
Hypergeometric Functions and Feynman Diagrams
Mikhail Kalmykov, Vladimir Bytev, Bernd Kniehl +3
The relationship between Feynman diagrams and hypergeometric functions is discussed. Special attention is devoted to existing techniques for the construction of the -expansion.…
Prediction for the Cosmological Constant and Constraints on Susy GUTS in Resummed Quantum Gravity
B. F. L. Ward
Working in the context of the Planck scale cosmology formulation of Bonanno and Reuter, we use our resummed quantum gravity approach to Einstein's general theory of relativity to e…
Differential Reduction Algorithms for Hypergeometric Functions Applied to Feynman Diagram Calculation
V. V. Bytev, M. Kalmykov, B. A. Kniehl +2
We describe the application of differential reduction algorithms for Feynman Diagram calculation. We illustrate the procedure in the context of generalized hypergeometric functions…
On the all-order epsilon-expansion of generalized hypergeometric functions with integer values of parameters
M. Yu. Kalmykov, B. F. L. Ward, S. A. Yost
We continue our study of the construction of analytical coefficients of the epsilon-expansion of hypergeometric functions and their connection with Feynman diagrams. In this paper,…
Multiple (inverse) binomial sums of arbitrary weight and depth and the all-order epsilon-expansion of generalized hypergeometric functions with one half-integer value of parameter
M. Yu. Kalmykov, B. F. L. Ward, S. A. Yost
We continue the study of the construction of analytical coefficients of the epsilon-expansion of hypergeometric functions and their connection with Feynman diagrams. In this paper,…