Inequalities, asymptotic expansions and completely monotonic functions related to the gamma function

摘要

In this paper, we present some completely monotonic functions and asymptotic expansions related to the gamma function. Based on the obtained expansions, we provide new bounds for Gamma(x + 1)/Gamma(x + 1/2) and Gamma(x + 1/2). (C) 2014 Published by Elsevier Inc.