First-order differential subordinations associated with Carathéodory functions

AIMS Mathematics(2024)

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摘要
In the present paper, we investigated some conditions to be in the class of Carathéodory functions by using the concept of the first-order differential subordinations. Moreover, various interesting special cases were considered in the geometric function theory as applications of main results presented here.
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关键词
differential subordination,carathéodory function,univalent function,starlike function of order alpha,strongly starlike function
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