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

AIMS Mathematics

Georgia Irina Oros¹ 

[1] Department of Mathematics and Computer Science, University of Oradea, 1 Universitii str., 410087 Oradea, Romania;

关键词: differential superordination;    analytic function;    convex function;    univalent function;    subordinant;    best subordinant;    gaussian hypergeometric function;    löwner chain;   

DOI  :  10.3934/math.2021759

来源: DOAJ

【 摘 要 】

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.

【 授权许可】

Unknown