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A subclass of harmonic univalent functions defined by means of differential subordination. (English) Zbl 1412.30030

Summary: 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.

MSC:

30C45 Special classes of univalent and multivalent functions of one complex variable (starlike, convex, bounded rotation, etc.)
30C80 Maximum principle, Schwarz’s lemma, Lindelöf principle, analogues and generalizations; subordination
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