On uniformly univalent functions with respect to symmetrical points

被引:4
作者
Noor, Khalida Inayat [1 ]
机构
[1] COMSATS Inst Informat Technol, Dept Math, Islamabad, Pakistan
来源
JOURNAL OF INEQUALITIES AND APPLICATIONS | 2014年
关键词
conic domains; starlike; close-to-convex; univalent; uniformly convex; coefficient; integral operator; STARLIKE FUNCTIONS; CONVEX-FUNCTIONS;
D O I
10.1186/1029-242X-2014-254
中图分类号
O29 [应用数学];
学科分类号
070104 ;
摘要
In this paper, we define and study some new subclasses of starlike and close-to-convex functions with respect to symmetrical points. These functions map the open unit disc onto certain conic regions in the right half plane. Some basic properties, a necessary condition, and coefficient and arc length problems are investigated. The mapping properties of the functions in these classes are studied under a certain linear operator.
引用
收藏
页数:14
相关论文
共 24 条