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arXiv · 1902.02644

Logarithmically Complete Monotonicity of Certain Ratios Involving the $k$-Gamma Function

Kwara Nantomah·Li Yin
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Abstract

In this paper, we prove logarithmically complete monotonicity properties of certain ratios of the $k$-gamma function. As a consequence, we deduce some inequalities involving the $k$-gamma and $k$-trigamma functions.

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Kwara Nantomah, Li Yin. 2019-02-05. Logarithmically Complete Monotonicity of Certain Ratios Involving the $k$-Gamma Function. https://arxiv.org/abs/1902.02644

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