Logarithmically complete monotonicity of reciprocal arctan function
Classical Analysis and ODEs
2021-12-21 v1
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 is logarithmically completely monotonic on , but not a Stieltjes transform.
Keywords
Cite
@article{arxiv.2112.09960,
title = {Logarithmically complete monotonicity of reciprocal arctan function},
author = {Vladimir Jovanović and Milanka Treml},
journal= {arXiv preprint arXiv:2112.09960},
year = {2021}
}