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

Adel Salim Tayyah, Sarem H. Hadi (), Abdullah Alatawi, Muhammad Abbas and Ovidiu Bagdasar ()
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Adel Salim Tayyah: Department of Cybersecurity, College of Computer Science and Information Technology, University of Al-Qadisiyah, Diwaniyah 58002, Iraq
Sarem H. Hadi: Department of Mathematics, College of Education for Pure Sciences, University of Basrah, Basrah 61001, Iraq
Abdullah Alatawi: Department of Scientific and Applied Materials, King Abdullah Air Defence Academy, Taif 26315, Saudi Arabia
Muhammad Abbas: Department of Mathematics, Abdul Wali Khan University Mardan, Mardan 23200, Pakistan
Ovidiu Bagdasar: Data Science Research Centre, College of Science & Engineering, University of Derby, Derby DE22 1GB, UK

Mathematics, 2025, vol. 13, issue 21, 1-20

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.

Keywords: analytic functions; functional inequalities; starlike and convex functions; subordination; 2nd and 3rd Hankel determinants (search for similar items in EconPapers)
JEL-codes: C (search for similar items in EconPapers)
Date: 2025
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