Sufficient Conditions and Applications for Carathéodory Functions

Neng Xu

Journal of Mathematics, 2013, vol. 2013, 1-4

Abstract:

Let be the class of functions of the form which are analytic in . By using the method of differential subordinations, we give some sufficient conditions for Carathéodory function, that is, if satisfies and where , , , , , then . Some useful consequences of this result are also given.

Date: 2013
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jjmath:930290

DOI: 10.1155/2013/930290

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