Some basic properties of certain subclass of harmonic univalent functions

Abstract

For , let denote the class of sense preserving harmonic mappings in the unit disk satisfying . The main aim of this paper is to study some basic properties such as coefficient bounds, growth estimates and convolution for functions in the class . We end the paper with an application, and construct harmonic univalent polynomials belonging to .

Keywords:

• Analytic
• univalent
• starlike
• convex functions
• close-to-convex
• harmonic functions
• subordination
• coefficient estimates
• convolution

AMS Subject Classifications:

• Primary: 30C45
• 30C50

Acknowledgements

The authors thank Professor K.-J. Wirths for careful reading of the paper and giving constructive suggestions. The first author thanks UGC for financial support.

Disclosure statement

No potential conflict of interest was reported by the authors.