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arxiv: 1902.02644 · v1 · pith:SPOMSTLTnew · submitted 2019-02-05 · 🧮 math.GM

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

classification 🧮 math.GM
keywords gammacertaincompletefunctioninvolvinglogarithmicallymonotonicityratios
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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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