Keywords : convex combination


A New Subclass of Harmonic Univalent Functions

Najah Ali Jiben Al-Ziadi; Waggas Galib Atshan

Journal of Al-Qadisiyah for Computer Science and Mathematics, 2017, Volume 9, Issue 2, Pages 26-32

In this paper, we define a new class of harmonic univalent functions of the form f=h+¯g in the open unit disk U. We obtain basic properties, like, coefficient bounds, extreme points, convex combination, distortion and growth theorems and integral operator.

New Class of Meromorphic Univalent Functions

Waggas Galib Atshan and Faiz Jawad Abdulkadhim

Journal of Al-Qadisiyah for Computer Science and Mathematics, 2015, Volume 7, Issue 1, Pages 106-118

In this paper We define a new class of meromorphic univalent functions in the
punctured unit disk. We obtain coefficient inequalities, Closure Theorem, convex
companion , distortion bound , Partial sums and neighborhood property, and Hadamard
product. Atshan[9], Cho et al.[6], Atshan and Kulkarni[3], Seoudy and Aouf [7] studied the
meromorphic univalent functions for another classes.