INCLUSION RELATIONS AND RADIUS PROBLEMS FOR A SUBCLASS OF STARLIKE FUNCTIONS

被引：12

作者：

Gupta, Prachi ^{[1
]}

Nagpal, Sumit ^{[2
]}

Ravichandran, Vaithiyanathan ^{[3
]}

机构：

[1] Univ Delhi, Dept Math, Delhi 110007, India

[2] Univ Delhi, Dept Math, Ramanujan Coll, Delhi 110019, India

[3] Natl Inst Technol, Dept Math, Tiruchirappalli 620015, India

来源：

JOURNAL OF THE KOREAN MATHEMATICAL SOCIETY | 2021年 / 58卷 / 05期

关键词：

Subordination; close-to-convex; starlike; cardioid; inclusion relation; radius problem; partial sum; convolution; LEMNISCATE; CONVEX;

D O I：

10.4134/JKMS.j200465

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

By considering the polynomial function phi(car) (z) = 1 + z + z(2) / 2 , we define the class S-car* consisting of normalized analytic functions f such that z f ' / f is subordinate to phi(car) in the unit disk. The inclusion relations and various radii constants associated with the class S-car* and its connection with several well-known subclasses of starlike functions is established. As an application, the obtained results are applied to derive the properties of the partial sums and convolution.

引用

页码：1147 / 1180

页数：34