On the Generalization of a Class of Harmonic Univalent Functions Defined by Differential Operator

Aqeel Ketab AL-khafaji, Waggas Galib Atshan and Salwa Salman Abed
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Aqeel Ketab AL-khafaji: Department of Mathematics, College of Education for Pure Sciences, University of Babylon, Babylon 51002, Iraq
Waggas Galib Atshan: Department of Mathematics, College of Computer Science & Information Technology, The University of Al-Qadisiyah, Al Diwaniyah 58002, Iraq
Salwa Salman Abed: Department of Mathematics, College of Education for Pure Sciences—Ibn Al-Haytham, The University of Baghdad, Baghdad 10071, Iraq

Mathematics, 2018, vol. 6, issue 12, 1-9

Abstract: In this article, a new class of harmonic univalent functions, defined by the differential operator, is introduced. Some geometric properties, like, coefficient estimates, extreme points, convex combination and convolution (Hadamard product) are obtained.

Keywords: harmonic univalent function; coefficient inequality; extreme points; convex combination; Hadamard product (search for similar items in EconPapers)
JEL-codes: C (search for similar items in EconPapers)
Date: 2018
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