Some Results on a Class of Harmonic Univalent Functions Defined by Generalised Derivative Operator

Entisar El-Yagubi and Samira Ziada
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Entisar El-Yagubi: Mathematical Department, Gharyan University, Faculty of Science, Gharyan, Libya
Samira Ziada: Mathematical Department, Gharyan University, Faculty of Science, Gharyan, Libya

International Journal of Research and Scientific Innovation, 2024, vol. 11, issue 9, 368-376

Abstract: Harmonic function is one of an important branches of complex analysis. The first study of complex – valued, harmonic mappings defined on a domain ꓓ ⊂ C was given by Clunie and Sheil-Small [1]. Harmonic functions have been studied by different researchers such as Silverman [6]. In the present paper, a new class of harmonic univalent functions will be introduced. Various properties of functions belong to this class which include coefficient bounds, growth bounds, a closure property, extreme points, neighborhood and a convex combination will be obtained.

Date: 2024
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