Subclass of Harmonic Univalent Functions Associated with Generalized Derivative Operator

Abstract

Using a generalized derivative operator, we introduce and study a new subclass of harmonic univalent functions. In the present paper, we obtain numerous sharp results including coefficient conditions, extreme points, convolution properties and convex combinations for the above class of harmonic univalent functions. The results obtained for the class reduce to the corresponding results for various well-known classes in the literature.

Some properties on a class of harmonic univalent functions defined by differential operator

“…,0 ( , ,0, , ) ( , , , is the class of sense-preserving harmonic univalent functions f which are starlike of order in , U studied by Eljamal and Darus[5].…”