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Sharp Functional Inequalities for Starlike and Convex Functions Defined via a Single-Lobed Elliptic Domain

Author

Listed:
  • Adel Salim Tayyah

    (Department of Cybersecurity, College of Computer Science and Information Technology, University of Al-Qadisiyah, Diwaniyah 58002, Iraq
    These authors contributed equally to this work.)

  • Sarem H. Hadi

    (Department of Mathematics, College of Education for Pure Sciences, University of Basrah, Basrah 61001, Iraq
    Department of Business Management, Al-Imam University College, Balad 34011, Iraq
    These authors contributed equally to this work.)

  • Abdullah Alatawi

    (Department of Scientific and Applied Materials, King Abdullah Air Defence Academy, Taif 26315, Saudi Arabia
    These authors contributed equally to this work.)

  • Muhammad Abbas

    (Department of Mathematics, Abdul Wali Khan University Mardan, Mardan 23200, Pakistan
    These authors contributed equally to this work.)

  • Ovidiu Bagdasar

    (Data Science Research Centre, College of Science & Engineering, University of Derby, Derby DE22 1GB, UK
    Department of Mathematics, Faculty of Exact Sciences, “1 Decembrie 1918” University of Alba Iulia, 510009 Alba Iulia, Romania)

Abstract

In this paper, we introduce two novel subclasses of analytic functions, namely, starlike and convex functions of Ma–Minda-type, associated with a newly proposed domain. We set sharp bounds on the basic coefficients of these classes and provide sharp estimates of the second- and third-order Hankel determinants, demonstrating the power of our analytic approach, the clarity of its results, and its applicability even in unconventional domains.

Suggested Citation

  • Adel Salim Tayyah & Sarem H. Hadi & Abdullah Alatawi & Muhammad Abbas & Ovidiu Bagdasar, 2025. "Sharp Functional Inequalities for Starlike and Convex Functions Defined via a Single-Lobed Elliptic Domain," Mathematics, MDPI, vol. 13(21), pages 1-20, October.
    • Handle: RePEc:gam:jmathe:v:13:y:2025:i:21:p:3367-:d:1777183
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    References listed on IDEAS

    as
    1. Oh Sang Kwon & Young Jae Sim, 2019. "The Sharp Bound of the Hankel Determinant of the Third Kind for Starlike Functions with Real Coefficients," Mathematics, MDPI, vol. 7(8), pages 1-14, August.
    2. Mohammad El-Ityan & Mustafa A. Sabri & Suha Hammad & Basem Frasin & Tariq Al-Hawary & Feras Yousef, 2025. "Third-Order Hankel Determinant for a Class of Bi-Univalent Functions Associated with Sine Function," Mathematics, MDPI, vol. 13(17), pages 1-15, September.
    Full references (including those not matched with items on IDEAS)

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