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Differential Subordination and Superordination Results Associated with Mittag–Leffler Function

Author

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  • Adel A. Attiya

    (Department of Mathematics, College of Science, University of Ha’il, Ha’il 81451, Saudi Arabia
    Department of Mathematics, Faculty of Science, Mansoura University, Mansoura 35516, Egypt)

  • Mohamed K. Aouf

    (Department of Mathematics, Faculty of Science, Mansoura University, Mansoura 35516, Egypt)

  • Ekram E. Ali

    (Department of Mathematics, College of Science, University of Ha’il, Ha’il 81451, Saudi Arabia
    Department of Mathematics and Computer Science, Faculty of Science, Port Said University, Port Said 42521, Egypt)

  • Mansour F. Yassen

    (Department of Mathematics, College of Science and Humanities in Al-Aflaj, Prince Sattam Bin Abdulaziz University, Al-Aflaj 11912, Saudi Arabia
    Department of Mathematics, Faculty of Science, Damietta University, New Damietta 34517, Egypt)

Abstract

In this paper, we derive a number of interesting results concerning subordination and superordination relations for certain analytic functions associated with an extension of the Mittag–Leffler function.

Suggested Citation

  • Adel A. Attiya & Mohamed K. Aouf & Ekram E. Ali & Mansour F. Yassen, 2021. "Differential Subordination and Superordination Results Associated with Mittag–Leffler Function," Mathematics, MDPI, vol. 9(3), pages 1-11, January.
  • Handle: RePEc:gam:jmathe:v:9:y:2021:i:3:p:226-:d:486280
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    Cited by:

    1. Faten Fakher Abdulnabi & Hiba F. Al-Janaby & Firas Ghanim & Alina Alb Lupaș, 2023. "Some Results on Third-Order Differential Subordination and Differential Superordination for Analytic Functions Using a Fractional Differential Operator," Mathematics, MDPI, vol. 11(18), pages 1-14, September.

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