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Differential subordination with generalized derivative operator of analytic functions - MaRDI portal

Differential subordination with generalized derivative operator of analytic functions (Q463245)

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scientific article; zbMATH DE number 6356660
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Differential subordination with generalized derivative operator of analytic functions
scientific article; zbMATH DE number 6356660

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    Differential subordination with generalized derivative operator of analytic functions (English)
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    16 October 2014
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    Summary: Motivated by a generalized derivative operator defined by the authors [Far East J. Math. Sci. (FJMS) 82, No. 1, 45--63 (2013; Zbl 1290.30010)] and the technique of differential subordination, several interesting properties of the operator \(\mathcal D^{m,b}_{\lambda_1,\lambda_2,\delta}\) are given.
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    univalent functions
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    starlike functions
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    convex functions
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    differential subordination
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