Hankel Determinant for a Subclass of Starlike Functions with Respect to Symmetric Points Subordinate to the Exponential Function

Let Ss*(ez) denote the class of starlike functions with respect to symmetric points subordinate exponential function, i.e., which satisfy in unit disk U condition 2zf′(z)f(z)−f(−z)≺ez(z∈U). We obtained sharp estimate second-order Hankel determinants H2,3(f) and improved third-order H3,1(f) for this Ss*(ez).