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

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 su...

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Bibliographic Details
Published inAIMS mathematics Vol. 6; no. 12; pp. 13143 - 13156
Main Author Oros, Georgia Irina
Format Journal Article
LanguageEnglish
Published AIMS Press 01.01.2021
Subjects
analytic function
best subordinant
convex function
differential superordination
gaussian hypergeometric function
löwner chain
subordinant
univalent function
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Summary: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.
ISSN:2473-6988
2473-6988
DOI:10.3934/math.2021759