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Convex univalent functions and continuous linear right inverses

โœ Scribed by Siegfried Momm


Publisher
Elsevier Science
Year
1992
Tongue
English
Weight
908 KB
Volume
103
Category
Article
ISSN
0022-1236

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On the radius of convexity of linear com
โœ Richard Greiner; Oliver Roth ๐Ÿ“‚ Article ๐Ÿ“… 2003 ๐Ÿ› John Wiley and Sons ๐ŸŒ English โš– 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~ฮฑ~__ of the set {(1 โ€“ __ฮฑ__)__f__(__z__) + __ฮฑzf__โ€ฒ(__z__) : __f__ โˆˆ __S__} for fixed __ฮฑ__ โˆˆ โ„‚. Using a linearization method we find the exact