Hankel Determinants of Normalized Analytic Functions Associated with Hyperbolic Secant Function
SYMMETRY-BASEL, cilt.16, sa.10, 2024 (SCI-Expanded, Scopus)
- Yayın Türü: Makale / Tam Makale
- Cilt numarası: 16 Sayı: 10
- Basım Tarihi: 2024
- Doi Numarası: 10.3390/sym16101303
- Dergi Adı: SYMMETRY-BASEL
- Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus, Academic Search Premier, Aerospace Database, Communication Abstracts, INSPEC, Metadex, zbMATH, Directory of Open Access Journals, Civil Engineering Abstracts
- İstanbul Kültür Üniversitesi Adresli: Evet
Özet
In this paper, we consider a subclass of normalized analytic functions associated with the hyperbolic secant function. We compute the sharp bounds on third- and fourth-order Hermitian-Toeplitz determinants for functions in this class. Moreover, we determine the bounds on second- and third-order Hankel determinants, as well as on the generalized Zalcman conjecture. We examine a Briot-Bouquet-type differential subordination involving the Bernardi integral operator. Finally, we obtain a univalent solution to the Briot-Bouquet differential equation, and discuss the majorization property for such function classes.