Complete monotonicity of a function involving the gamma function and applications
Classical Analysis and ODEs
2014-12-02 v1
Abstract
In the article we present necessary and sufficient conditions for a function involving the logarithm of the gamma function to be completely monotonic and apply these results to bound the gamma function , the -th harmonic number , and the factorial .
Cite
@article{arxiv.1104.4442,
title = {Complete monotonicity of a function involving the gamma function and applications},
author = {Feng Qi},
journal= {arXiv preprint arXiv:1104.4442},
year = {2014}
}
Comments
11 pages