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Some inequalities for the $q$-Extension of the Gamma Function (1510.03459v1)

Published 6 Oct 2015 in math.CA

Abstract: In this paper, the authors establish some inequalities involving the $q$-extension of the classical Gamma function. These inequalities provide bounds for certain ratios of the $q$-extended Gamma function. The procedure makes use of geometric convexity and monotonicy properties of certain functions associated with the $q$-extended Gamma function.

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