Toeplitz matrices whose elements are the coefficients of functions with bounded boundary rotation
type: Item
instance of: scholarly article
title: Toeplitz matrices whose elements are the coefficients of functions with bounded boundary rotation
zbMATH Open document ID: 1400.30030
DOI: 10.1155/2016/4960704
author: Jay M. Jahangiri
author: Varadharajan Radhika
author: Srikandan Sivasubramanian
author: Gangadharan Murugusundaramoorthy
published in: Journal of Complex Analysis
publication date: 2018-10-08T00:00:00Z
review text: Summary: Let \(\mathcal{R}\) denote the family of functions \(f(z) = z + \sum_{n = 2}^{\infty} a_n z^n\) of bounded boundary rotation so that \(Re \left(f^{\prime}(z)\right) > 0\) in the open unit disk \(\mathbb{U} = \{z : \left|z\right| < 1 \}\). We obtain sharp bounds for Toeplitz determinants whose elements are the coefficients of functions \(f \in \mathcal{R}\).
Mathematics Subject Classification ID: 30C45
Mathematics Subject Classification ID: 15B05
zbMATH DE Number: 6948606
zbMATH Keywords: sharp bounds
zbMATH Keywords: Toeplitz determinants
MaRDI profile type: Publication
full work available at URL: https://doi.org/10.1155/2016/4960704
OpenAlex ID: W2508442776
Wikidata QID: Q59125337
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description: scientific article; zbMATH DE number 6948606