On uniformly univalent functions with respect to symmetrical points

Journal of inequalities and applications

Khalida Inayat Noor¹ 

关键词: conic domains;    starlike;    close-to-convex;    univalent;    uniformly convex;    coefficient;    integral operator;   

DOI  :  10.1186/1029-242X-2014-254

学科分类：数学（综合）

来源: SpringerOpen

【 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. MSC:30C45, 30C50.

【 授权许可】

CC BY