The Alexander transform of a spirallike function

Journal of Mathematical Analysis and Applications Volume 325 Issue 1 Page 608-611 published_at 2007-01-01
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Title ( eng )
The Alexander transform of a spirallike function
Creator
Kim Yong Chan
Sugawa Toshiyuki
Source Title
Journal of Mathematical Analysis and Applications
Volume 325
Issue 1
Start Page 608
End Page 611
Abstract
We show that the Alexander transform of a β-spirallike function is univalent when cos β < 1/2, which settles the problem posed by Robertson. We also solved a problem considered by Y. J. Kim and Merkes.
NDC
Mathematics [ 410 ]
Language
eng
Resource Type journal article
Publisher
Elsevier
Date of Issued 2007-01-01
Rights
Copyright (c) 2007 Elsevier Ltd.
Publish Type Author’s Original
Access Rights open access
Source Identifier
[ISSN] 0022-247X
[DOI] 10.1016/j.jmaa.2006.01.077
[NCID] AA00252847
[DOI] http://dx.doi.org/10.1016/j.jmaa.2006.01.077 isVersionOf