On Coefficient Estimates for a Certain Class of Analytic Functions

In this paper, we consider a subclass SQ of normalized analytic functions f satisfying ℜf′(z)>1/2. For the functions in the class SQ, we determine upper bounds for a number of coefficient estimates, among which are initial coefficients, the second Hankel determinant, and the Zalcman functional. Upper estimates for higher-order Schwarzian derivatives are also obtained.