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

Let S-s(*) (e(z)) denote the class of starlike functions with respect to symmetric points subordinate to the exponential function, i.e., the functions which satisfy in the unit disk U the condition 2z f '(z)/f (z)-f (-z) < e(z) (z epsilon U). We obtained the sharp estimate of the second-order Hankel determinants H-2,H-3 (f) and improved the estimate of the third-order H-3,H-1 (f) for this functions class S-s(*) (e(z))