On certain subclasses of analytic multivalent functions using generalized Salagean operator (Q499835)

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scientific article; zbMATH DE number 6489986
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On certain subclasses of analytic multivalent functions using generalized Salagean operator
scientific article; zbMATH DE number 6489986

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    On certain subclasses of analytic multivalent functions using generalized Salagean operator (English)
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    6 October 2015
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    Summary: We introduce and study two subclasses of multivalent functions denoted by \(\mathcal M_{p,n}^{m,\alpha,\beta,\sigma}(\lambda_1,\lambda_2)\) and \(\mathcal N_{p,n}^{m,\alpha,\beta,\sigma}(\mu,\delta;\gamma)\). Further, by using the method of differential subordination, certain inclusion relations between the two subclasses aforementioned are given. Moreover, several consequences of the main results are also discussed.
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    convex functions
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    star-like functions
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    subordination
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