A ratio of many gamma functions and its properties with applications
Classical Analysis and ODEs
2021-01-05 v1 Combinatorics
Abstract
In the paper, the authors establish an inequality involving exponential functions and sums, introduce a ratio of many gamma functions, discuss properties, including monotonicity, logarithmic convexity, (logarithmically) complete monotonicity, and the Bernstein function property, of the newly introduced ratio, and construct two inequalities of multinomial coefficients and multivariate beta functions.
Keywords
Cite
@article{arxiv.1911.05883,
title = {A ratio of many gamma functions and its properties with applications},
author = {Feng Qi and Wen-Hui Li and Shu-Bin Yu and Xin-Yu Du and Bai-Ni Guo},
journal= {arXiv preprint arXiv:1911.05883},
year = {2021}
}
Comments
10 pages