arXiv:1003.1965·v1·Mathematical Physics
All-order epsilon-expansions of hypergeometric functions of one variable
Mikhail Yu. Kalmykov (Hamburg U., Inst. Theor. Phys. II & Dubna, JINR) · Bernd A.Kniehl (Hamburg U., Inst. Theor. Phys. II)
Abstract
We briefly sketch a proof concerning the structure of the all-order epsilon-expansions of generalized hypergeometric functions with special sets of parameters.
Comments: 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