On Ozaki Close-to-Convex Functions

Let f be analytic in D=∈ C:|z|<1\ and given by f(z)=z+∑ ₙ₌₂∞aₙzⁿ . We give sharp bounds for the initial coefficients of the Taylor expansion of such functions in the class of strongly Ozaki close-to-convex functions, and of the initial coefficients of the inverse function, together with some growth estimates.