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On certain meromorphic functions with positive coefficients - MaRDI portal

On certain meromorphic functions with positive coefficients (Q5916141)

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scientific article; zbMATH DE number 2145553
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On certain meromorphic functions with positive coefficients
scientific article; zbMATH DE number 2145553

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    On certain meromorphic functions with positive coefficients (English)
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    14 March 2005
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    The authors have obtained coefficient inequalities, distortion and growth estimates, radii of starlikeness and convexity and closure results for a class of meromorphic functions \(f(z)\) with positive coefficients satisfying \(| z(I^k f(z))'/I^k f(z)+1| < | z(I^k f(z))'/I^k f(z)+2\alpha -1| \) (\(0\leq \alpha <1\)) where \(I^k\) is the meromorphic analogue of the Salagean derivative operator.
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    meromorphic function
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    linear operator
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    positive coefficients
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