Positivity of certain class of functions related to the Fox H-functions and applications
Classical Analysis and ODEs
2020-09-08 v2
Abstract
In this present investigation, we found a set of sufficient conditions to be imposed on the parameters of the Fox H-functions which allow us to conclude that it is non-negative. As applications, various new facts regarding the Fox-Wright functions, including complete monotonicity, logarithmic completely monotonicity and monotonicity of ratios are considered.
Keywords
Cite
@article{arxiv.1811.06353,
title = {Positivity of certain class of functions related to the Fox H-functions and applications},
author = {Khaled Mehrez},
journal= {arXiv preprint arXiv:1811.06353},
year = {2020}
}