Bounds of Hankel determinant for a class of univalent functions
type: Item
instance of: scholarly article
title: Bounds of Hankel determinant for a class of univalent functions
zbMATH Open document ID: 1256.30012
DOI: 10.1155/2012/147842
author: Sarika Verma
author: Sushma Gupta
author: Sukhjit Singh
published in: International Journal of Mathematics and Mathematical Sciences
publication date: 2012-10-16T00:00:00Z
review text: Summary: We study coefficient conditions for the class \(\mathfrak H_\alpha\) defined as the set of all analytic functions \(f\) with \(f(0) = 0\) and \(f'(0) = 1\) which satisfy \[ \mathrm{Re}\left\{(1 - \alpha)f'(z) + \alpha\left(1 +\frac{zf''(z)}{f'(z)}\right)\right\} > \alpha \] for all \(z\) in the open unit disk, where \(\alpha\) is a real number.
Mathematics Subject Classification ID: 30C45
zbMATH DE Number: 6093791
zbMATH Keywords: univalent functions
zbMATH Keywords: Hankel determinant
zbMATH Keywords: coefficient condition
Wikidata QID: Q58705547
MaRDI profile type: Publication
full work available at URL: https://doi.org/10.1155/2012/147842
OpenAlex ID: W2141347792
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description: scientific article; zbMATH DE number 6093791