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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,…
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…