Third Hankel Determinant for Subclasses of Analytic and m-Fold Symmetric Functions Involving Cardioid Domain and Sine Function
- Resource Type
- article
- Authors
- Ayman Alahmade; Zeeshan Mujahid; Ferdous M. O. Tawfiq; Bilal Khan; Nazar Khan; Fairouz Tchier
- Source
- Symmetry, Vol 15, Iss 11, p 2039 (2023)
- Subject
- analytic functions
cardioid domain starlike functions
Hankel determinant
subordination
m-fold symmetric functions
Mathematics
QA1-939
- Language
- English
- ISSN
- 15112039
2073-8994
In this research, we define a few subclasses of analytic functions which are connected to sine functions and the cardioid domain in the unit disk. We investigate initial coefficient bounds, the Fekete–Szego problem and second and third Hankel determinants for the functions f belonging to these newly defined classes. We also define the class of m-fold symmetric functions related with the sine function and then investigate the bounds of the third Hankel determinant for twofold symmetric and threefold symmetric functions.