The sharp bound of the third order Hankel determinant for inverse of Ozaki close-to-convex functions

Abstract

Let $f$ be analytic in the unit disk $\mathbb{D}=\{z\in \mathbb{C}:|z|<1\}$, and $\mathcal{S}$ be the subclass of normalized univalent functions given by $f(z)={\sum }_{n=1}^{\infty }{a}_n{z}^n,a_1:=1$ for $z\in \mathbb{D}$. We present the sharp bounds of the third-order Hankel determinant for inverse functions when it belongs to of the class of Ozaki close-to-convex.