Sharp Functional Inequalities for Starlike and Convex Functions Defined via a Single-Lobed Elliptic Domain
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.
Authors
- Abdullah Alatawi (ORCID: https://orcid.org/0000-0001-6246-3359)
- Sarem H. Hadi (ORCID: https://orcid.org/0000-0002-3780-2360)
- Adel Salim Tayyah (ORCID: https://orcid.org/0000-0002-4380-1428)
- Muhammad Abbas
- Ovidiu Bagdasar (ORCID: https://orcid.org/0000-0003-4193-9842)
Institutions
- University of Basrah (IQ)
- Abdul Wali Khan University Mardan (PK)
- University of Derby (GB)
- Alsalam University College (IQ)
- University of Al-Qadisiyah (IQ)
- 1 Decembrie 1918 University (RO)
Publication Details
- Journal
- Mathematics
- Published
- 2025-10-22
- DOI
- https://doi.org/10.3390/math13213367
- Citations
- 2
- Primary Topic
- Analytic and geometric function theory
- Type
- article
- Field-Weighted Citation Impact
- 8.18