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Radius of starlikeness for the class \(S(\alpha,n)\) - MaRDI portal

Radius of starlikeness for the class \(S(\alpha,n)\) (Q1919349)

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scientific article; zbMATH DE number 913298
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Radius of starlikeness for the class \(S(\alpha,n)\)
scientific article; zbMATH DE number 913298

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    Radius of starlikeness for the class \(S(\alpha,n)\) (English)
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    11 November 1997
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    In this paper the sharp radius of starlikeness is obtained for the family of functions \(f\) that are analytic in the open unit disk, satisfy \(\text{Re} {f(z)\over z} >\alpha\) for \(|z|<1\) \((0\leq \alpha<1)\), and have a power series beginning \(f(z)= z+a_n z^n+a_{n+1} z^{n+1} +\dots (n\geq 2)\). The author obtained an estimate of this radius in [Northeast. Math. 7, No. 1, 27-32 (1991; Zbl 0761.30003)].
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