The Fekete-Szegő problem fork-uniformly convex functions and for a class defined by the Owa-Srivastava operator
type: Item
instance of: scholarly article
title: The Fekete-Szegő problem fork-uniformly convex functions and for a class defined by the Owa-Srivastava operator
zbMATH Open document ID: 1152.30012
published in: Journal of Mathematical Analysis and Applications
publication date: 2008-09-16T00:00:00Z
review text: Making use of a fractional differential operator due to Owa and Srivastava, a subclass of analytic functions related to \(k\)-uniformly convex functions, is introduced. For this class and in particular for the class of \(k\)-uniformly convex functions the Fekete-Szegő problem is completely solved. The authors investigated some properties for the functions from the class \(k\)-\(SP_{\lambda}\) and proved completely these properties.
reviewed by: Daniel Breaz
Mathematics Subject Classification ID: 30C45
zbMATH DE Number: 5344333
zbMATH Keywords: \(k\)-uniformly convex function
zbMATH Keywords: elliptic integral
zbMATH Keywords: Hadamard product
zbMATH Keywords: fractional derivative
author: Akshaya Kumar Mishra
author: Priyabrat Gochhayat
MaRDI profile type: Publication
full work available at URL: j.jmaa.2008.06.009
OpenAlex ID: W1993281128
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DOI: 10.1016/J.JMAA.2008.06.009
description: scientific article; zbMATH DE number 5344333