A logarithmically completely monotonic function involving the ratio of gamma functions
Classical Analysis and ODEs
2015-07-07 v2 Information Theory
math.IT
Abstract
In the paper, the authors concisely survey and review some functions involving the gamma function and its various ratios, simply state their logarithmically complete monotonicity and related results, and find necessary and sufficient conditions for a new function involving the ratio of two gamma functions and originating from the coding gain to be logarithmically completely monotonic.
Cite
@article{arxiv.1303.1877,
title = {A logarithmically completely monotonic function involving the ratio of gamma functions},
author = {Feng Qi and Wen-Hui Li},
journal= {arXiv preprint arXiv:1303.1877},
year = {2015}
}
Comments
11 pages