Logarithmic Convexity and Inequalities for the Gamma Function

Author: Merkle M.  

Publisher: Academic Press

ISSN: 0022-247X

Source: Journal of Mathematical Analysis and Applications, Vol.203, Iss.2, 1996-10, pp. : 369-380

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Abstract

We propose a method, based on logarithmic convexity, for producing sharp bounds for the ratio Gamma( x +beta)/Gamma( x ). As an application, we present an inequality that sharpens and generalizes inequalities due to Gautschi, Chu, Boyd, Lazarevic-Lupas, and Kershaw.