In this paper we investigate the monotonicity properties related to the ratio of gamma functions, from which some related asymptotics and inequalities are established. Some special cases also confirm the conjectures of C.-P. Chen (Appl Math Comput 283:385–396, 2016).

中文翻译：

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与两个伽马函数之比有关的单调性

在本文中，我们研究了与伽玛函数比率有关的单调性，由此确定了一些相关的渐近性和不等式。一些特殊情况也证实了C.-P.的猜想。Chen（Appl Math Comput 283：385–396，2016）。