The Third Hankel Determinant for Inverse Coefficients of Convex Functions

Let A denote the class of normalised analytic functions f in the open unit disk D:=∈ C:|z|<1\ with $f(0)=0$ and $f'(0)=1$ . A function f∈ A is said to be convex if f(D) is convex. We establish a sharp upper bound for the third Hankel determinant corresponding to the inverse coefficients of convex univalent (that is, one-to-one) functions in the unit disk D .