A class of completely mixed monotonic functions involving the gamma function with applications
Proceedings of the American Mathematical Society2018Vol. 146(11), pp. 4707–4721
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Abstract
In this paper, we introduce the notion of completely mixed monotonicity of a function of several variables, very few of which have appeared. We give a necessary and sufficient condition for a function constructed by ratios of gamma functions to be completely mixed monotonic. From this, some new inequalities for gamma, psi, and polygamma functions are derived.
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