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- Title
On strongly starlike and strongly convex functions with bounded radius and bounded boundary rotation.
- Authors
Hussain, Sabir; Ahmad, Khalil
- Abstract
In this paper, we introduce and investigate new classes of normalized analytic functions in an open unit disk with bounded radius and bounded boundary rotation by using the subordination. We discuss inclusion results, co-efficient bounds, growth and distortion theorems of the classes. Moreover, we compute the radii of strong starlikeness, convexity and starlikeness of the classes. It is interesting to mention that most of our findings are best possible as compared to the existing results in the literature.
- Subjects
CONVEX functions; STAR-like functions; ROTATIONAL motion; ANALYTIC functions; RADIUS (Geometry)
- Publication
Journal of Inequalities & Applications, 2020, Vol 2020, Issue 1, p1
- ISSN
1025-5834
- Publication type
Article
- DOI
10.1186/s13660-020-02391-z