Hormoz Rahmatan - Department of Mathematics, Faculty of Mathematical Sciences, Payame Noor University, P.O.Box ۱۹۳۹۵-۳۶۹۷, Tehran, Iran

In this paper, we investigate the Toeplitz determinant for a family of functions with bounded turnings, we give estimates of the Toeplitz determinants of fifth order for the set \mathcal{R} of univalent functions with bounded turnings in the unit disc. Also, we obtain bounds of the fifth Toeplitz determinant for the subclasses of the class \mathcal{R}.

Analytic functions, Univalent functions, Bounded turning functions, Toeplitz determinant