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

被引：7
|
作者：
Mehrez, Khaled [1 ]
机构：
[1] Univ Kairouan, Dept Math, Kairouan Preparatory Inst Engn Studies, Kairouan 3100, Tunisia
来源：
ANALYSIS AND MATHEMATICAL PHYSICS | 2021年 / 11卷 / 03期
关键词：
Fox-Wright function; Fox's H-function; Complete monotonicity; Positive definite; MONOTONIC FUNCTIONS; WRIGHT FUNCTIONS; DIFFUSION;
D O I：
10.1007/s13324-021-00553-w
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
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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页数：25
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