Certain Geometric Properties of the Fox-Wright Functions

被引：3
作者：
Kumar, Anish [1 ]
Mondal, Saiful R. [2 ]
Das, Sourav [1 ]
机构：
[1] Natl Inst Technol Jamshedpur, Dept Math, Jamshedpur 831014, Jharkhand, India
[2] King Faisal Univ, Coll Sci, Dept Math & Stat, Al Hasa 31982, Saudi Arabia
来源：
AXIOMS | 2022年 / 11卷 / 11期
关键词：
Fox-Wright functions; analytic functions; univalent functions; convex functions; starlike functions; Hardy spaces; STARLIKENESS;
D O I：
10.3390/axioms11110629
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
The primary objective of this study is to establish necessary conditions so that the normalized Fox-Wright functions possess certain geometric properties, such as convexity and pre-starlikeness. In addition, we present a linear operator associated with the Fox-Wright functions and discuss its k-uniform convexity and k-uniform starlikeness. Furthermore, some sufficient conditions were obtained so that this function belongs to the Hardy spaces. The results of this work are presumably new and illustrated by several consequences, remarks, and examples.
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页数：17
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