Logarithmically complete monotonicity of reciprocal arctan function

Autor:	Jovanović, Vladimir, Treml, Milanka
Rok vydání:	2021
Předmět:	Mathematics - Classical Analysis and ODEs
Druh dokumentu:	Working Paper
Popis:	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.
Databáze:	arXiv
Externí odkaz:	http://arxiv.org/abs/2112.09960 Zobrazit plný text záznamu View this record from Arxiv