Inclusion relationships and argument properties for certain subclasses of multivalent functions associated with a family of linear operators
type: Item
instance of: scholarly article
title: Inclusion relationships and argument properties for certain subclasses of multivalent functions associated with a family of linear operators
zbMATH Open document ID: 1059.30006
author: Nak Eun Cho
author: Oh Sang Kwon
author: H. M. Srivastava
published in: Journal of Mathematical Analysis and Applications
publication date: 2004-08-06T00:00:00Z
review text: Using the notation of subordination some analogues of starlike and close-to-convex functions are introduced for multivalent functions. In the paper some inclusion relationships of these function classes are obtained. Also, it is studied several families of linear operators on the classes of multivalent functions.
Mathematics Subject Classification ID: 30C45
zbMATH DE Number: 2082186
zbMATH Keywords: Analytic functions
zbMATH Keywords: Univalent and multivalent functions
zbMATH Keywords: Subordination between analytic functions
zbMATH Keywords: Hadamard product (or convolution)
zbMATH Keywords: Linear operators
zbMATH Keywords: Carlson-Shaffer operator
zbMATH Keywords: Fractional derivative operator
zbMATH Keywords: Choi-Saigo-Srivastava operator
zbMATH Keywords: Strongly starlike functions
zbMATH Keywords: Strongly convex functions
zbMATH Keywords: Strongly close-to-convex functions
zbMATH Keywords: Inclusion relationships and argument properties
zbMATH Keywords: Ruscheweyh derivative operator
reviewed by: V. V. Goryainov
MaRDI profile type: Publication
full work available at URL: j.jmaa.2003.12.026
OpenAlex ID: W2059804121
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DOI: 10.1016/J.JMAA.2003.12.026
description: scientific article; zbMATH DE number 2082186