A Subclass of Harmonic Univalent Functions Defined by Means of Differential Subordination

Document Type : Original Article


Department of Mathematics, Faculty of Arts and Science, Uludag University, 16059, Görükle, Bursa, Turkey.


The aim of this paper is to introduce a new class of harmonic functions
defined by use of a subordination. We find necessary and sufficient
conditions, radii of starlikeness and convexity and compactness for this
class of functions. Moreover, by using extreme points theory we also obtain
coefficients estimates, distortion theorems for this class of functions. On
the other hand, some results (corollaries) on the paper are pointed out.


Main Subjects