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- Title
Sharp Coefficient and Hankel Problems Related to a Symmetric Domain.
- Authors
Tang, Huo; Ahmad, Adeel; Rasheed, Akhter; Ali, Asad; Hussain, Saqib; Noor, Saima
- Abstract
In the current article, we utilize the concept of subordination to establish a new subclass of analytic functions associated with a bounded domain that is symmetric about the real axis. By applying the convolution technique, we derive the necessary and sufficient condition, the radius of convexity for this recently introduced class. Furthermore, we prove the sharp upper bounds for the second-order Hankel determinants | H 2 , 1 ξ | , | H 2 , 2 ξ | and third-order Hankel determinant | H 3 , 1 ξ | for the functions ξ belonging to the newly defined class.
- Subjects
SYMMETRIC domains; HANKEL functions; ANALYTIC functions; HYPERBOLIC functions; TANGENT function
- Publication
Symmetry (20738994), 2023, Vol 15, Issue 10, p1865
- ISSN
2073-8994
- Publication type
Article
- DOI
10.3390/sym15101865