Some Further Coefficient Bounds on a New Subclass of Analytic Functions

被引：1

作者：

Sun, Yue-Juan ^{[1
]}

Arif, Muhammad ^{[2
]}

Shi, Lei ^{[3
]}

Faisal, Muhammad Imran ^{[4
]}

机构：

[1] Shangqiu Normal Univ, Sch Math & Stat, Shangqiu 476000, Peoples R China

[2] Abdul Wali khan Univ Mardan, Dept Math, Mardan 23200, Pakistan

[3] Anyang Normal Univ, Sch Math & Stat, Anyang 455002, Peoples R China

[4] Taibah Univ, Math Dept, Univ Rd,POB 344, Medina 42353, Saudi Arabia

来源：

MATHEMATICS | 2023年 / 11卷 / 12期

关键词：

subordination; analytic functions; Hankel determinant; coefficient bounds; HANKEL DETERMINANT; 3RD KIND;

D O I：

10.3390/math11122784

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

The coefficient problem is an essential topic in the theory of univalent functions theory. In the present paper, we consider a new subclass SQ of analytic functions with f'(z) subordinated to 1/(1-z)(2) in the open unit disk. This class was introduced and studied by Raducanu. Our main aim is to give the sharp upper bounds of the second Hankel determinant H(2,3)f and the third Hankel determinant H(3,1)f for f?SQ. This may help to understand more properties of functions in this class and inspire further investigations on higher Hankel determinants for this or other popular sub-classes of univalent functions.

引用

页数：14

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