All-order epsilon-expansions of hypergeometric functions of one variable

Abstract

We briefly sketch a proof concerning the structure of the all-order epsilon-expansions of generalized hypergeometric functions with special sets of parameters.

6 pages. Based on the talk given by Kalmykov at International Bogolyubov Conference "Problems of Theoretical and Mathematical Physics" (dedicated to the 100th anniversary of the birth of N.N. Bogolyubov (1909-1992)), Dubna, Russia, August 21 - 27, 2009

References in corpus (4)

• HypExp 2, Expanding Hypergeometric Functions about Half-Integer Parameters
• Gauss hypergeometric function: reduction, epsilon-expansion for integer/half-integer parameters and Feynman diagrams
• The one-loop pentagon to higher orders in epsilon
• Series and epsilon-expansion of the hypergeometric functions

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