Hermitian-Toeplitz determinants for functions with bounded turning

Authors

VIRENDRA KUMAR
NAK EUN CHO

DOI

10.3906/mat-2101-104

Abstract

There is a rich literature on estimation of second and third Hankel determinants for normalised analytic functions in geometric function theory. It is also, therefore, natural to explore the concept of the Hermitian-Toeplitz determinants for such functions. In this paper, the sharp lower and upper estimations for third-order Hermitian-Toeplitz determinant for functions with bounded turning of order $\alpha$, are obtained. \keywords{Analytic functions, functions with bounded turning of order $\alpha$, Hermitian-Toeplitz determinant

First Page

2678

Last Page

2687

Recommended Citation

KUMAR, VIRENDRA and CHO, NAK EUN (2021) "Hermitian-Toeplitz determinants for functions with bounded turning," Turkish Journal of Mathematics: Vol. 45: No. 6, Article 20. https://doi.org/10.3906/mat-2101-104
Available at: https://journals.tubitak.gov.tr/math/vol45/iss6/20