Abstract

In this paper, a new class of harmonic univalent functions was defined by the differential operator. We obtained some geometric properties, such as the coefficient estimates, convex combination, extreme points, and convolution (Hadamard product), which are required

Highlights

  • A complex - valued continuous harmonic function f = u + iv is harmonic in whether both u and v are real harmonic, at any connected which may be written as f = h + ̅, where h and g are analytic in .We call "h” analytic part and " " co-analytic part of f

  • Wherever h and g are given by h(z) = z - ∑ | |, (z) =

  • Many authors studied the family of harmonic univalent function

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Summary

Aubdulnibe and Jassim

Iraqi Journal of Science, 2020, Vol 61, No 6, pp: 1440-1445 DOI: 10.24996/ijs.2020.61.6.23 A Class of Harmonic Univalent Functions Defined by Differential Operator and the Generalization Department of Mathematics, College of Science, University of Baghdad, Baghdad, Iraq

Introduction
Main Results
Observe that
The required representation is obtained as
Now consider the convolution

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