Differential subordination implications for certain Carathéodory functions

Meghna Sharma, Sushil Kumar, Naveen Kumar Jain

Abstract


In this article, we wish to establish some first order differential subordination relations for certain Carathéodory functions with nice geometrical properties. Moreover, several implications are determined so that the normalized analytic function belongs to various subclasses of starlike functions.


Keywords


Differential subordination, Carathéodory function, starlike functions, sufficient conditions

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DOI: http://dx.doi.org/10.24193/subbmath.2023.4.07

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