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Bulletin of the Korean Mathematical Society
Article . 2005 . Peer-reviewed
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SOME CRITERIA FOR STARLIKENESS AND STRONGLY STARLIKENESS

Some criteria for starlikeness and strongly starlikeness
Authors: Xu, Neng; Yang, Dinggong;

SOME CRITERIA FOR STARLIKENESS AND STRONGLY STARLIKENESS

Abstract

The authors discuss on certain sufficient conditions for starlikeness and strongly starlikeness of analytic functions in the unit disk. Their results generalise and refine known results of \textit{J.-L. Li} and \textit{S. Owa} [Indian J. Pure Math. 33, 313--318 (2002; Zbl 0998.30010), Georgian Math. J. 5, 361--366 (1998; Zbl 0924.30008)] and of \textit{C. Ramesha} et.al [Chin. J. Math. 23, 167--171 (1995; Zbl 0834.30010)]. Further some other new results are obtained.

Keywords

Special classes of univalent and multivalent functions of one complex variable (starlike, convex, bounded rotation, etc.), strongly starlikeness, subordination, starlikeness, analytic function

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selected citations
These citations are derived from selected sources.
This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Citations provided by BIP!
popularity
This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.
BIP!Popularity provided by BIP!
influence
This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Influence provided by BIP!
impulse
This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.
BIP!Impulse provided by BIP!
5
Average
Top 10%
Average
gold