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A note on symmetrical functions defined by a differential operator - MaRDI portal

A note on symmetrical functions defined by a differential operator (Q326879)

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scientific article; zbMATH DE number 6637956
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A note on symmetrical functions defined by a differential operator
scientific article; zbMATH DE number 6637956

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    A note on symmetrical functions defined by a differential operator (English)
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    12 October 2016
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    Summary: In this paper using the concept of \((j,k)\)-symmetric points and differential operator \(D_{\lambda,\gamma}^{\alpha,\beta}\) we introduced new subclasses \( \mathcal{S}^{(j,k)}(\alpha,\beta,\gamma,\lambda,\phi)\) and \( \mathcal{K}^{(j,k)}(\alpha,\beta,\gamma,\lambda,\phi)\). The integral representation and some properties for these classes are obtained.
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    differential operator
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    convex functions
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    starlike functions
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    \((j,k)\)-symmetric points
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