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

Document Type : Original Article

Authors

Serkan Çakmak ¹

Sibel Yalçın ¹

Şahsene Altinkaya ²

¹ Department of Mathematics, Faculty of Arts and Science, Uludag University, 16059, Görükle, Bursa, Turkey.

² Department of Mathematics, Faculty of Arts and Science, Uludag University, 16059, Görükle, Bursa, Turkey.

10.22034/kjm.2017.53655

Abstract

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.

Keywords

Harmonic functions

univalent functions

modified Su{a}lu{a}gean operator

subordination

Subjects

• 30 Functions of a complex variable

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