$Hermitian Toeplitz determinants for the class ${\mathcal{S}}$ of univalent functions$

Hermitian Toeplitz determinants for the class ${\mathcal{S}}$ of univalent functions

Introducing a new method, we give sharp estimates of the Hermitian Toeplitz determinants of third order for the class $\mathcal{S}$ of functions univalent in the unit disc. The new approach is also illustrated on some subclasses of the class $\mathcal{S}$.

Bibliographic Details
Main Authors:	Milutin Obradović, Nikola Tuneski
Format:	Article
Language:	English
Published:	Republic of Armenia National Academy of Sciences 2021-07-01
Series:	Armenian Journal of Mathematics
Subjects:	univalent Hermitian Toepliz determinant of second order Hermitian Toepliz determinant of third order class U convex functions
Online Access:	http://test.armjmath.sci.am/index.php/ajm/article/view/549

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spelling	doaj-bf1a3f8f6f1a48dda3252b786d6638d82021-08-01T14:27:10ZengRepublic of Armenia National Academy of SciencesArmenian Journal of Mathematics1829-11632021-07-01134Hermitian Toeplitz determinants for the class ${\mathcal{S}}$ of univalent functionsMilutin Obradović0Nikola Tuneski1University of BelgradeSs. Cyril and Methodius University in Skopje Introducing a new method, we give sharp estimates of the Hermitian Toeplitz determinants of third order for the class $\mathcal{S}$ of functions univalent in the unit disc. The new approach is also illustrated on some subclasses of the class $\mathcal{S}$. http://test.armjmath.sci.am/index.php/ajm/article/view/549univalentHermitian Toepliz determinant of second orderHermitian Toepliz determinant of third orderclass Uconvex functions
collection	DOAJ
language	English
format	Article
sources	DOAJ
author	Milutin Obradović Nikola Tuneski
spellingShingle	Milutin Obradović Nikola Tuneski Hermitian Toeplitz determinants for the class ${\mathcal{S}}$ of univalent functions Armenian Journal of Mathematics univalent Hermitian Toepliz determinant of second order Hermitian Toepliz determinant of third order class U convex functions
author_facet	Milutin Obradović Nikola Tuneski
author_sort	Milutin Obradović
title	Hermitian Toeplitz determinants for the class ${\mathcal{S}}$ of univalent functions
title_short	Hermitian Toeplitz determinants for the class ${\mathcal{S}}$ of univalent functions
title_full	Hermitian Toeplitz determinants for the class ${\mathcal{S}}$ of univalent functions
title_fullStr	Hermitian Toeplitz determinants for the class ${\mathcal{S}}$ of univalent functions
title_full_unstemmed	Hermitian Toeplitz determinants for the class ${\mathcal{S}}$ of univalent functions
title_sort	hermitian toeplitz determinants for the class ${\mathcal{s}}$ of univalent functions
publisher	Republic of Armenia National Academy of Sciences
series	Armenian Journal of Mathematics
issn	1829-1163
publishDate	2021-07-01
description	Introducing a new method, we give sharp estimates of the Hermitian Toeplitz determinants of third order for the class $\mathcal{S}$ of functions univalent in the unit disc. The new approach is also illustrated on some subclasses of the class $\mathcal{S}$.
topic	univalent Hermitian Toepliz determinant of second order Hermitian Toepliz determinant of third order class U convex functions
url	http://test.armjmath.sci.am/index.php/ajm/article/view/549
work_keys_str_mv	AT milutinobradovic hermitiantoeplitzdeterminantsfortheclassmathcalsofunivalentfunctions AT nikolatuneski hermitiantoeplitzdeterminantsfortheclassmathcalsofunivalentfunctions
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Hermitian Toeplitz determinants for the class ${\mathcal{S}}$ of univalent functions

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