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Sufficient conditions for starlikeness of holomorphic mapping in \(\mathbb{C}^n\) - MaRDI portal

Sufficient conditions for starlikeness of holomorphic mapping in \(\mathbb{C}^n\) (Q1768039)

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scientific article; zbMATH DE number 2144207
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English
Sufficient conditions for starlikeness of holomorphic mapping in \(\mathbb{C}^n\)
scientific article; zbMATH DE number 2144207

    Statements

    Sufficient conditions for starlikeness of holomorphic mapping in \(\mathbb{C}^n\) (English)
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    11 March 2005
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    The authors obtain some sufficient conditions of star-likeness for locally biholomorphic mappings on the Euclidean unit ball in \({\mathbb C}^n\). They also obtain covering and distortion results for some subsets of normalized star-like mappings on the unit ball \({\mathbb B}^n\) of \({\mathbb C}^n\).
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    covering theorem
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    distortion theorem
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    local biholomorphic mapping
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    starlikeness condition
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    strongly starlike mapping
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