Geodesic
A solution to Qi's eighth open problem on complete monotonicity
Problemy analiza, Tome 10 (2021) no. 3, pp. 108-112

Voir la notice de l'article provenant de la source Math-Net.Ru

In this paper, the complete monotonicity of $\frac{1}{\arctan x}$ is proved. This problem was posted by F. Qi and R. P. Agarwal as the eighth open problem of collection of eight open problems.
Keywords: logarithmically completely monotonic functions, polygamma function, inequalities, Stieltjes function. 
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     author = {A. Venkata Lakshmi},
     title = {A solution to {Qi's} eighth open problem on complete monotonicity},
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     url = {http://geodesic.mathdoc.fr/item/PA_2021_10_3_a7/}
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A. Venkata Lakshmi. A solution to Qi's eighth open problem on complete monotonicity. Problemy analiza, Tome 10 (2021) no. 3, pp. 108-112. http://geodesic.mathdoc.fr/item/PA_2021_10_3_a7/