Open AccessSufficient Conditions and Applications for Carathéodory Functions
Author(s) -
Neng Xu
Publication year - 2013
Publication title -
journal of mathematics
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.252
H-Index - 13
eISSN - 2314-4785
pISSN - 2314-4629
DOI - 10.1155/2013/930290
Subject(s) - mathematics , class (philosophy) , analytic function , function (biology) , differential (mechanical device) , mathematical analysis , pure mathematics , thermodynamics , evolutionary biology , artificial intelligence , computer science , biology , physics
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
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