Toeplitz matrices whose elements are the coefficients of functions with bounded boundary rotation (Q1788404)

Summary: Let \(\mathcal{R}\) denote the family of functions \(f(z) = z + \sum_{n = 2}^{\infty} a_n z^n\) of bounded boundary rotation so that \(Re \left(f^{\prime}(z)\right) > 0\) in the open unit disk \(\mathbb{U} = \{z : \left|z\right| < 1 \}\). We obtain sharp bounds for Toeplitz determinants whose elements are the coefficients of functions \(f \in \mathcal{R}\).