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

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Department of Mathematics, College of Education for Pure Sciences, University of Babylon, Babylon 51002, Iraq
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Department of Mathematics, College of Education for Pure Sciences—Ibn Al-Haytham, The University of Baghdad, Baghdad 10071, Iraq
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Department of Mathematics, College of Computer Science & Information Technology, The University of Al-Qadisiyah, Al Diwaniyah 58002, Iraq
*
Author to whom correspondence should be addressed.
Mathematics 2018, 6(12), 312; https://doi.org/10.3390/math6120312
Received: 30 October 2018 / Revised: 16 November 2018 / Accepted: 27 November 2018 / Published: 7 December 2018
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. View Full-Text
Keywords: harmonic univalent function; coefficient inequality; extreme points; convex combination; Hadamard product harmonic univalent function; coefficient inequality; extreme points; convex combination; Hadamard product
MDPI and ACS Style

AL-khafaji, A.K.; Atshan, W.G.; Abed, S.S. On the Generalization of a Class of Harmonic Univalent Functions Defined by Differential Operator. Mathematics 2018, 6, 312.

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