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

Author(s):

Hormoz Rahmatan *

Message:
Article Type:
Research/Original Article (دارای رتبه معتبر)
Abstract:
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 $\mathcal{R}$.
Keywords:

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

Language:
English
Published:
International Journal Of Nonlinear Analysis And Applications, Volume:14 Issue: 7, Jul 2023
Pages:
99 to 106
https://www.magiran.com/p2626841