More supplements to a class of logarithmically completely monotonic functions associated with the gamma function
Classical Analysis and ODEs
2012-08-21 v1
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 . 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.
Keywords
Cite
@article{arxiv.0904.4027,
title = {More supplements to a class of logarithmically completely monotonic functions associated with the gamma function},
author = {Senlin Guo and Feng Qi},
journal= {arXiv preprint arXiv:0904.4027},
year = {2012}
}
Comments
8 pages