On the radius of convexity of linear com
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Richard Greiner; Oliver Roth
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Article
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2003
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John Wiley and Sons
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English
β 169 KB
## Abstract Let __S__ denote the set of normalized univalent functions in the unit disk. We consider the problem of finding the radius of convexity __r~Ξ±~__ of the set {(1 β __Ξ±__)__f__(__z__) + __Ξ±zf__β²(__z__) : __f__ β __S__} for fixed __Ξ±__ β β. Using a linearization method we find the exact