A first-order differential double subordination with applications
type: Item
instance of: scholarly article
title: A first-order differential double subordination with applications
zbMATH Open document ID: 1257.30005
author: Nak Eun Cho
author: Rosihan M. Ali
author: Oh Sang Kwon
author: V. Ravichandran
published in: Applied Mathematics Letters
publication date: 2012-06-14T00:00:00Z
full work available at URL: https://arxiv.org/abs/1108.4088
review text: Let \(q_1\) and \(q_2\) belong to a certain class of normalized analytic univalent functions in the open unit disk of the complex plane. Sufficient conditions are obtained for normalized analytic functions \(p\) to satisfy the double subordination chain \(q_1\prec p(z)\prec q_2(z)\). The differential sandwich-type result obtained is applied to normalized univalent functions and \(\Phi\)-like functions. (Let \(\Phi\) be an analytic function in a domain containing the open unit disk, \(\Phi(0)=0\) and \(\Phi^\prime(0)>0\). A function \(f\), analytic in the unit disk with \(f(0)=0\), \(f^\prime(0)=1\) is called \(\Phi\)-like if Re\(\frac{zf^\prime(z)}{\Phi(f(z))}>0\), \(z\) in the unit disk.)
reviewed by: Frederick W. Hartmann
Mathematics Subject Classification ID: 30C45
zbMATH DE Number: 6046284
zbMATH Keywords: differential subordination
zbMATH Keywords: differential superordination
zbMATH Keywords: best subordinant
zbMATH Keywords: best dominant
zbMATH Keywords: \(\Phi \)-like functions
MaRDI profile type: Publication
OpenAlex ID: W2051450756
arXiv ID: 1108.4088
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DOI: 10.1016/J.AML.2011.08.025
description: scientific article; zbMATH DE number 6046284