Abstract
In the paper, necessary and sufficient conditions are presented for a function involving a ratio of gamma functions to be logarithmically completely monotonic. This extends and generalizes the main result of Guo and Qi [Taiwanese J. Math. 7 (2003), no. 2, 239--247] and others. As applications, several inequalities involving the volume of the unit ball in $\mathbb{R}^n$ are derived, which refine, generalize and extend some known inequalities.
Citation
Bai-Ni Guo. Feng Qi. Chun-Fu Wei. "Complete monotonicity of a function involving the ratio of gamma functions and applications." Banach J. Math. Anal. 6 (1) 35 - 44, 2012. https://doi.org/10.15352/bjma/1337014663
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