%0 Journal Article %T The quotient of gamma functions by the psi function %A Mortici %A Cristinel %J Computational & Applied Mathematics %D 2011 %I Scientific Electronic Library Online %R 10.1590/S1807-03022011000300008 %X the aim of this paper is to construct the asymptotic series of the ratio of gamma functions by kershaw then to deduce some sharp estimates. mathematical subject classification: 33b15, 05a16, 26d15. %K gamma function %K digamma function %K inequalities %K asymptotic series %K rate of convergence. %U http://www.scielo.br/scielo.php?script=sci_abstract&pid=S1807-03022011000300008&lng=en&nrm=iso&tlng=en