Mapping properties of nonlinear integral operators and pre-Schwarzian derivatives

Journal of Mathematical Analysis and Applications Volume 299 Issue 2 Page 433-447 published_at 2004-11-15
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Title ( eng )
Mapping properties of nonlinear integral operators and pre-Schwarzian derivatives
Creator
Kim Yong Chan
Ponnusamy S.
Sugawa Toshiyuki
Source Title
Journal of Mathematical Analysis and Applications
Volume 299
Issue 2
Start Page 433
End Page 447
Abstract
In this paper, nonlinear integral operators on normalized analytic functions in the unit disk are investigated in connection with the pre-Schwarzian derivative and the Hornich operation. In particular, several nontrivial relations between these operators and the class of strongly starlike functions are deduced.
NDC
Mathematics [ 410 ]
Language
eng
Resource Type journal article
Publisher
Elsevier Inc
Date of Issued 2004-11-15
Rights
Copyright (c) 2004 Elsevier Inc
Publish Type Author’s Original
Access Rights open access
Source Identifier
[NCID] AA00252847
[ISSN] 0022-247X
[DOI] 10.1016/j.jmaa.2004.03.081
[DOI] http://dx.doi.org/10.1016/j.jmaa.2004.03.081 isVersionOf