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Annales Polonici Mathematici
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Annales Polonici Mathematici
Article . 2005 . Peer-reviewed
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https://dx.doi.org/10.4064/ap8...
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Strongly starlike and spirallike functions

descriptionPublicationkeyboard_double_arrow_right Article 01 Jan 2005 English Publisher:Institute of Mathematics, Polish Academy of SciencesJournal:Annales Polonici Mathematici, volume 85, pages 165-192 (issn: 0066-2216, eissn: 1730-6272, Copyright policy )
Authors: Lecko, Adam;

doi: 10.4064/ap85-2-6

Strongly starlike and spirallike functions

Abstract

The author studies the concepts of strong starlikeness and spirallikeness with respect to a finite point as well as with respect to infinity. He also considers the meromorphic strongly starlike and meromorphic spirallike functions of order \((\alpha,\beta)\). New method of proofs are presented. In fact, some well known results are reproved in an elementary way.

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Keywords

Special classes of univalent and multivalent functions of one complex variable (starlike, convex, bounded rotation, etc.), strongly starlike functions, spirallike functions, meromorphic strongly starlike functions, meromorphic spirallike functions

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    selected citations
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    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).
    		 6
    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.
    		 Average
    influence
    This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
    		 Top 10%
    impulse
    This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.
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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!
6
Average
Top 10%
Average
bronze