Coefficient estimates and other properties for a class of spirallike functions associated with a differential operator
type: Item
instance of: scholarly article
title: Coefficient estimates and other properties for a class of spirallike functions associated with a differential operator
zbMATH Open document ID: 1292.30007
DOI: 10.1155/2013/415319
author: Halit Orhan
author: Murat Çağlar
author: Mustafa Bayram
author: Dorina Raducanu
published in: Abstract and Applied Analysis
publication date: 2014-06-23T00:00:00Z
review text: Summary: For \(0\leq\eta<1\), \(0\leq\lambda<1\), \(-\pi/2<\gamma<\pi/2\), \(0\leq\beta\leq\alpha\), and \(m\in\mathbb N\cup\{0\}\), a new class \(S^m_{\alpha,\beta}(\eta,\gamma,\lambda)\) of analytic functions defined by means of the differential operator \(D^m_{\alpha,\beta}\) is introduced. Our main object is to provide sharp upper bounds for the Fekete-Szegő problem in \(S^m_{\alpha,\beta}(\eta,\gamma,\lambda)\). We also find sufficient conditions for a function to be in this class. Some interesting consequences of our results are pointed out.
Mathematics Subject Classification ID: 30C45
zbMATH DE Number: 6306815
zbMATH Keywords: spirallike functions
zbMATH Keywords: Fekete-Szegő problem
MaRDI profile type: Publication
Wikidata QID: Q58916227
full work available at URL: https://doi.org/10.1155/2013/415319
OpenAlex ID: W2035281296
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description: scientific article; zbMATH DE number 6306815