Bounds of third and fourth Hankel determinants for a generalized subclass of bounded turningfunctions subordinated to sine function

The objective of this paper is to investigate the bounds of third and fourth Hankel determinants for a generalized subclass of bounded turning functions associated with sine function, in the open unit disc $E=\{z\in\mathbb{C}: |z|1\}$. The results are also extended to two-fold and three-fold symmetric functions. This investigation will generalize the resuls of some earlier works.