doiSerbia

Subclasses of harmonic univalent functions associated with generalized Ruscheweyh operator

Dziok Jacek (Institute of Mathematics, University of Rzeszow, Poland)
Yalçın Sibel (Department of Mathematics, Faculty of Arts and Science, Bursa Uludag University, Bursa, Turkey)
Altınkaya Şahsene (Department of Mathematics, Faculty of Arts and Science, Bursa Uludag University, Bursa, Turkey)

We introduce a new subclass of functions defined by multiplier differential operator and give coefficient bounds for these subclasses. Also, we obtain necessary and sufficient convolution conditions, distortion bounds and extreme points for these subclasses of functions.

Keywords: Harmonic functions, univalent functions, subordination, Hadamard product, multiplier transformation, Ruscheweyh operator