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- Title
Sharp coefficient inequalities of starlike functions connected with secant hyperbolic function.
- Authors
Raza, Mohsan; Bano, Khadija; Xin, Qin; Tchier, Fairouz; Malik, Sarfraz Nawaz
- Abstract
This article comprises the study of class S E ∗ that represents the class of normalized analytic functions f satisfying ς f ′ (z) / f (ς) ≺ sec h (ς) . The geometry of functions of class S E ∗ is star-shaped, which is confined in the symmetric domain of a secant hyperbolic function. We find sharp coefficient results and sharp Hankel determinants of order two and three for functions in the class S E ∗ . We also investigate the same sharp results for inverse coefficients.
- Subjects
HYPERBOLIC functions; SYMMETRIC domains; ANALYTIC functions; GEOMETRY; STAR-like functions; HANKEL functions; UNIVALENT functions
- Publication
Journal of Inequalities & Applications, 2024, Vol 2024, p1
- ISSN
1025-5834
- Publication type
Article
- DOI
10.1186/s13660-024-03134-0