Malaysian Journal of Mathematical Sciences, June 2025, Vol. 19, No. 2
Inverse Coefficient Bounds for Bounded Turning Functions in the Cardioid Domain
Silviya, I. R. and Muthunagai, K.
Corresponding Email: muthunagai@vit.ac.in
Received date: 20 September 2024
Accepted date: 15 January 2025
Abstract:
The primary aim of this article is to obtain the constraints for specific inverse initial coefficients for a subclass of bounded turning functions, which are associated with the cardioid domain and are denoted by $\mathcal{BT}_{car}$. The study also focuses on Fekete-Szeg$\ddot{o}$ inequality and the Hankel determinants of order two and three within a specific subclass of functions.
Keywords: coefficient bounds; inverse function; univalent function; Hankel determinant
