Toeplitz Determinant for the Inverse of a Function Whose Derivative Has a Positive Real Part

Let R denote the family of analytic and univalent functions f(z) in the unit disk Ω = {z ∈ C: |z | < 1} such that Re f′(z) > 0. We investigated the Toeplitz determinant for the inverse of the function to f ∈ R and gave the upper bound estimates of the determinants T₂(2), T₂(3), T₃(1) and T₃(2) .