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arXiv · 2112.09960

Logarithmically complete monotonicity of reciprocal arctan function

Vladimir Jovanović·Milanka Treml
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Abstract

We prove the conjecture stated in F. Qi and R. Agarwal, \textit{On complete monotonicity for several classes of functions related to ratios of gamma functions}, J. Inequal. Appl. (2019), 1-42, that the function $1/\arctan$ is logarithmically completely monotonic on $(0,\infty)$, but not a Stieltjes transform.

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Vladimir Jovanović, Milanka Treml. 2021-12-18. Logarithmically complete monotonicity of reciprocal arctan function. https://arxiv.org/abs/2112.09960

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