On the univalency for certain subclass of analytic functions involving Ruscheweyh derivatives (Q700902)
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scientific article; zbMATH DE number 1814796
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | On the univalency for certain subclass of analytic functions involving Ruscheweyh derivatives |
scientific article; zbMATH DE number 1814796 |
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On the univalency for certain subclass of analytic functions involving Ruscheweyh derivatives (English)
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15 October 2002
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The author introduces a new subclass \(B_\lambda(\mu,\alpha,\rho)\) of functions of the form \[ f(z)= z+ \sum^\infty_{k=2} a_k z^k, \] which are analytic in the unit disk \(U= \{z:| z|< 1\}\). The results obtained generalize the related works of some authors. Some new univalent criterions and covering theorem were also obtained.
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Hadamard product
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Bazilevich functions
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Ruscheweyh operator \(D^1\)
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univalent function
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