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arXiv · 0904.4027

More supplements to a class of logarithmically completely monotonic functions associated with the gamma function

Senlin Guo·Feng Qi
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Abstract

In this article, a necessary and sufficient condition and a necessary condition are established for a function involving the gamma function to be logarithmically completely monotonic on $(0,\infty)$. As applications of the necessary and sufficient condition, some inequalities for bounding the psi and polygamma functions and the ratio of two gamma functions are derived.

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Senlin Guo, Feng Qi. 2009-04-26. More supplements to a class of logarithmically completely monotonic functions associated with the gamma function. https://doi.org/10.1080/10652469.2011.611331

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