Hankel determinants, Fekete-Szego inequality, and estimates of initial <spacing diaeresis> coefficients for certain subclasses of analytic functions

被引：2
|
作者：
Hu, Wenzheng [1 ]
Deng, Jian [1 ]
机构：
[1] South China Normal Univ, Sch Math Sci, Guangzhou 510631, Peoples R China
来源：
AIMS MATHEMATICS | 2024年 / 9卷 / 03期
关键词：
analytic function; modified sigmoid function; subordination; Hankel determinant; upper bound; Fekete-Szego inequality; initial coefficients; STARLIKE FUNCTIONS; UNIVALENT; BOUNDS;
D O I：
10.3934/math.2024314
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this paper, we define new subclasses of analytic functions related to a modified sigmoid function and analytic univalent function. Then, we attempt to investigate the upper bounds of the third and fourth Hankel determinant in the special case. Further, bound on third Hankel determinant of its inverse function is also investigated. In addition, we attempt to obtain the Fekete-Szego inequality for center dot the classes. Then, we estimate the bounds of initial coefficients for the function belongs to some kind of new subclasses when its inverse function also belongs to these new subclasses.
引用
收藏
页码：6445 / 6467
页数：23
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