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

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

2009-04-26

arxiv.org/abs/0904.4027v1

Mathematics

Classical Analysis and ODEs

8 pages

Scientific paper

10.1080/10652469.2011.611331

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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