Toeplitz Determinants Whose Elements Are the Coefficients of Analytic and Univalent Functions

Let S denote the class of analytic and univalent functions in D:=∈ C:|z|<1\ which are of the form f(z)=z+∑ ₙ₌₂∞aₙzⁿ . We determine sharp estimates for the Toeplitz determinants whose elements are the Taylor coefficients of functions in S and certain of its subclasses. We also discuss similar problems for typically real functions.