Commun. Math. Res., 35 (2019), pp. 354-358.
Published online: 2019-12
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Denote $\cal S$ to be the class of functions which are analytic, normalized and univalent in the open unit disk $\mathbb U=\{z\colon |z|<1\}$. The important subclasses of $\cal S$ are the class of starlike and convex functions, which we denote by $\cal S^*$ and $\cal C$. In this paper, we obtain the third Hankel determinant for the inverse of functions $f(z)=z+\sum\limits_{n=2}^{\infty}a_nz^n$ belonging to $\cal S^*$ and $\cal C$.
}, issn = {2707-8523}, doi = {https://doi.org/10.13447/j.1674-5647.2019.04.07}, url = {http://global-sci.org/intro/article_detail/cmr/13563.html} }Denote $\cal S$ to be the class of functions which are analytic, normalized and univalent in the open unit disk $\mathbb U=\{z\colon |z|<1\}$. The important subclasses of $\cal S$ are the class of starlike and convex functions, which we denote by $\cal S^*$ and $\cal C$. In this paper, we obtain the third Hankel determinant for the inverse of functions $f(z)=z+\sum\limits_{n=2}^{\infty}a_nz^n$ belonging to $\cal S^*$ and $\cal C$.