Kumar, SushilBreaz, DanielCotirla, Luminita-IoanaÇETİNKAYA, ASENA2024-12-112024-12-112024Kumar, S., Breaz, D., Cotîrlă, L. I., & Çetinkaya, A. (2024). Hankel determinants of normalized analytic functions associated with hyperbolic secant function. Symmetry, 16(10), 1303.https://doi.org/10.3390/sym16101303https://hdl.handle.net/11413/9328In 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. © 2024 by the authors.eninfo:eu-repo/semantics/openAccessAttribution 3.0 United Stateshttp://creativecommons.org/licenses/by/3.0/us/Briot–bouquet Differential SubordinationHermitian–toeplitz and Hankel DeterminantsHyperbolic Secant FunctionMajorizationStarlike FunctionsArticle0013426835000012-s2.0-852076789932073-8994