Positivity of certain classes of functions related to the Fox H-functions with applications

被引：0
|
作者：
Khaled Mehrez
机构：
[1] University of Kairouan,Department of Mathematics, Kairouan Preparatory Institute For Engineering Studies
来源：
Analysis and Mathematical Physics | 2021年 / 11卷
关键词：
Fox-Wright function; Fox’s H-function; Complete monotonicity; Positive definite; 33C20; 33E20; 26D07; 26A42; 44A10;
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摘要：
In this paper, a new set of sufficient conditions are imposed on the parameters of the Fox H-functions, which allow us to conclude that it is non-negative. As applications, some classes of completely monotonic and positive definite functions involving the Fox H-function are established. Some new facts regarding the Fox-Wright functions, including complete monotonicity, logarithmic completely monotonicity and monotonicity of their ratios are discussed.
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