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The quotient of gamma functions by the psi functionDOI: 10.1590/S1807-03022011000300008 Keywords: gamma function, digamma function, inequalities, asymptotic series, rate of convergence. Abstract: 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.
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