On the radius of convexity of linear com
โ
Richard Greiner; Oliver Roth
๐
Article
๐
2003
๐
John Wiley and Sons
๐
English
โ 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__โฒ(__z__) : __f__ โ __S__} for fixed __ฮฑ__ โ โ. Using a linearization method we find the exact