Bounds of the fifth Toeplitz determinant for the classes of functions with bounded turnings

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}.

کلیدواژه ها:

Analytic functions ، Univalent functions ، Bounded turning functions ، Toeplitz determinant