Coefficient conditions for starlikeness of nonnegative order
type: Item
instance of: scholarly article
title: Coefficient conditions for starlikeness of nonnegative order
zbMATH Open document ID: 1256.30005
DOI: 10.1155/2012/450318
author: See Keong Lee
author: Rosihan M. Ali
author: Saiful Rahman Mondal
published in: Abstract and Applied Analysis
publication date: 2013-02-04T00:00:00Z
review text: Summary: Sufficient conditions on a sequence \(\{a_k\}\) of nonnegative numbers are obtained which ensure that \(f(z) = \sum^\infty_{k=1} a_k z^k\) is starlike of nonnegative order in the unit disk. A result of Vietoris on trigonometric sums is extended in this pursuit. Conditions for close to convexity and convexity in the direction of the imaginary axis are also established. These results are applied to investigate the starlikeness of functions involving Gaussian hypergeometric functions.
Mathematics Subject Classification ID: 30C45
Mathematics Subject Classification ID: 42A05
zbMATH DE Number: 6134092
Wikidata QID: Q58695179
MaRDI profile type: Publication
full work available at URL: https://doi.org/10.1155/2012/450318
OpenAlex ID: W2022508306
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description: scientific article; zbMATH DE number 6134092