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Let ${\mathcal A}$ be the class of functions that are analytic in the unitdisc ${\mathbb D}$, normalized such that $f(z)=z+\sum_{n=2}^\infty a_nz^n$, andlet class ${\mathcal U}(\lambda)$, $0<\lambda\le1$, consists of functions$f\in{\mathcal A}$, such that \[ \left |\left (\frac{z}{f(z)} \right)^{2}f'(z)-1\right | < \lambda\quad (z\in {\mathbb D}). \] In this paper wedetermine the sharp upper bounds for the Hankel determinants of second andthird order for the inverse functions of functions from the class ${\mathcalU}(\lambda)$.

Sharp bounds of Hankel determinants of second and third order for inverse functions of certain class of univalent functions