Subclass of harmonic starlike functions associated with Salagean derivative. (English) Zbl 1317.30016

Darwish, H. E.; Lashin, A. Y.; Soileh, S. M.

Matematiche 69, No. 2, 147-158 (2014).

Summary: The purpose of the present paper is to establish some results involving coefficient conditions, distortion bounds, extreme points, convolution, and convex combinations for a new class of harmonic univalent functions in the open unit disc associated with the Salagean operator. We also discuss a class preserving integral operator. Relevant connections of the results presented here with various known results are briefly indicated.

MSC:

30C45

Special classes of univalent and multivalent functions of one complex variable (starlike, convex, bounded rotation, etc.)

Keywords:

harmonic; univalent; starlike; convolution