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

Author

Listed:
  • Aqeel Ketab AL-khafaji

    (Department of Mathematics, College of Education for Pure Sciences, University of Babylon, Babylon 51002, Iraq
    Department of Mathematics, College of Education for Pure Sciences—Ibn Al-Haytham, The University of Baghdad, Baghdad 10071, 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)

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.

Suggested Citation

  • Aqeel Ketab AL-khafaji & Waggas Galib Atshan & Salwa Salman Abed, 2018. "On the Generalization of a Class of Harmonic Univalent Functions Defined by Differential Operator," Mathematics, MDPI, vol. 6(12), pages 1-9, December.
    • Handle: RePEc:gam:jmathe:v:6:y:2018:i:12:p:312-:d:188956
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