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On Certain Classes of Multivalent Analytic Functions Defined with Higher-Order Derivatives

Author

Listed:
  • Abdel Moneim Y. Lashin

    (Department of Mathematics, Faculty of Science, King Abdulaziz University, Jeddah 21589, Saudi Arabia)

  • Fatma Z. El-Emam

    (Department of basic sciences, Delta Higher Institute for Engineering and Technology, Mansoura 35681, Egypt)

Abstract

This paper examines two subclasses of multivalent analytic functions defined with higher-order derivatives. These classes of functions are generalizations of several known subclasses that have been studied in separate works. Moreover, we find several interesting results for functions in these classes, including subordination results, containment relations, and integral preserving properties.

Suggested Citation

  • Abdel Moneim Y. Lashin & Fatma Z. El-Emam, 2022. "On Certain Classes of Multivalent Analytic Functions Defined with Higher-Order Derivatives," Mathematics, MDPI, vol. 11(1), pages 1-9, December.
    • Handle: RePEc:gam:jmathe:v:11:y:2022:i:1:p:83-:d:1014813
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    References listed on IDEAS

    as
    1. C. Ramachandran & D. Kavitha & T. Soupramanien, 2015. "Certain Bound for -Starlike and -Convex Functions with respect to Symmetric Points," International Journal of Mathematics and Mathematical Sciences, Hindawi, vol. 2015, pages 1-7, October.
    2. Afaf A. Ali Abubaker & Maslina Darus, 2011. "On Starlike and Convex Functions with Respect to 𠑘 -Symmetric Points," International Journal of Mathematics and Mathematical Sciences, Hindawi, vol. 2011, pages 1-9, May.
    3. Muhammad Arif & Omar Barkub & Hari Mohan Srivastava & Saleem Abdullah & Sher Afzal Khan, 2020. "Some Janowski Type Harmonic q -Starlike Functions Associated with Symmetrical Points," Mathematics, MDPI, vol. 8(4), pages 1-16, April.
    Full references (including those not matched with items on IDEAS)

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