Bounds of the fifth Toeplitz determinant for the classes of functions with bounded turnings | ||
| International Journal of Nonlinear Analysis and Applications | ||
| مقاله 8، دوره 14، شماره 7، مهر 2023، صفحه 99-106 اصل مقاله (366.6 K) | ||
| نوع مقاله: Research Paper | ||
| شناسه دیجیتال (DOI): 10.22075/ijnaa.2022.24382.2732 | ||
| نویسنده | ||
| Hormoz Rahmatan* | ||
| Department of Mathematics, Faculty of Mathematical Sciences, Payame Noor University, P.O.Box 19395-3697, Tehran, Iran | ||
| چکیده | ||
| 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 $\mathcal{R}$. | ||
| کلیدواژهها | ||
| Analytic functions؛ Univalent functions؛ Bounded turning functions؛ Toeplitz determinant | ||
| مراجع | ||
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