Upper bound of second Hankel determinant for certain subclasses of analytic functions
type: Item
instance of: scholarly article
title: Upper bound of second Hankel determinant for certain subclasses of analytic functions
zbMATH Open document ID: 1474.30088
DOI: 10.1155/2014/603180
author: Xianqiang Yang
published in: Abstract and Applied Analysis
publication date: 2019-02-14T00:00:00Z
review text: Summary: In this present investigation, we first give a survey of the work done so far in this area of Hankel determinant for univalent functions. Then the upper bounds of the second Hankel determinant \(| a_2 a_4 - a_3^2 |\) for functions belonging to the subclasses \(S(\alpha, \beta)\), \(K(\alpha, \beta)\), \(S_s^\ast(\alpha, \beta)\), and \(K_s(\alpha, \beta)\) of analytic functions are studied. Some of the results, presented in this paper, would extend the corresponding results of earlier authors.
Mathematics Subject Classification ID: 30C45
Mathematics Subject Classification ID: 30C50
Mathematics Subject Classification ID: 30C80
zbMATH DE Number: 7022704
Wikidata QID: Q59039875
MaRDI profile type: Publication
full work available at URL: https://doi.org/10.1155/2014/603180
OpenAlex ID: W2023524047
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description: scientific article; zbMATH DE number 7022704