International Journal of Nonlinear Analysis and Applications

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

Document Type : Research Paper

Author

Department of Mathematics, Faculty of Mathematical Sciences, Payame Noor University, P.O.Box 19395-3697, Tehran, Iran

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

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International Journal of Nonlinear Analysis and Applications
Volume 14, Issue 7
July 2023
Pages 99-106
  • Receive Date: 30 August 2021
  • Revise Date: 22 August 2022
  • Accept Date: 04 November 2022