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AIMS Mathematics
Article . 2021 . Peer-reviewed
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AIMS Mathematics
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Article . 2021
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Carathéodory properties of Gaussian hypergeometric function associated with differential inequalities in the complex plane

Authors: Georgia Irina Oros;

Carathéodory properties of Gaussian hypergeometric function associated with differential inequalities in the complex plane

Abstract

<abstract><p>The results presented in this paper highlight the property of the Gaussian hypergeometric function to be a Carathéodory function and refer to certain differential inequalities interpreted in form of inclusion relations for subsets of the complex plane using the means of the theory of differential superordination and the method of subordination chains also known as Löwner chains.</p></abstract>

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Keywords

gaussian hypergeometric function, convex function, Löwner chain, subordinant, differential superordination, univalent function, analytic function, Special classes of univalent and multivalent functions of one complex variable (starlike, convex, bounded rotation, etc.), best subordinant, Maximum principle, Schwarz's lemma, Lindelöf principle, analogues and generalizations; subordination, löwner chain, QA1-939, Gaussian hypergeometric function, Mathematics

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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!
4
Top 10%
Average
Average
gold