Certain Sharp Coefficient Results on a Subclass of Starlike Functions Defined by the Quotient of Analytic Functions

被引：5

作者：

Shi, Lei ^{[1
]}

Arif, Muhammad ^{[2
]}

机构：

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

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

来源：

FRACTAL AND FRACTIONAL | 2023年 / 7卷 / 02期

关键词：

Hankel determinant; starlike functions; convex functions; oefficient estimate; HANKEL DETERMINANT; 3RD KIND; CONVEXITY; CRITERIA;

D O I：

10.3390/fractalfract7020195

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In the present paper, we consider a subclass of starlike functions G(3/2) defined by the ratio of analytic representations of convex and starlike functions. The main aim is to determine the bounds of Fekete-Szego-type inequalities and Hankel determinants for functions in this class. It is proved that max{|H-3,H-1(f)| : f is an element of G(3/2)} is equal to 1/81. The bounds for f is an element of G(3/2) are sharp.

引用

页数：12

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