A class of generalized gamma functions
Jean-Paul Jurzak
Abstract
In this paper, we study the holomorphic function defined by the infinite product Γa,r(s) =Πn ≥ 0 (1 + 1a+ nr)s (1 + sa+nr)-1 which generalize Euler's definition in the sense that Γ(s) = Γ1,1(s)s. We obtain analogues of the Gauss multiplication formula, complement formula for functions Γa,r(s).
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