𝔖 Bobbio Scriptorium
✦   LIBER   ✦

Radius of univalence of a regular function

✍ Scribed by D. B. Yur'ev


Publisher
Springer US
Year
1990
Tongue
English
Weight
118 KB
Volume
24
Category
Article
ISSN
0016-2663

No coin nor oath required. For personal study only.


πŸ“œ SIMILAR VOLUMES


On the radius of convexity of linear com
✍ Richard Greiner; Oliver Roth πŸ“‚ Article πŸ“… 2003 πŸ› John Wiley and Sons 🌐 English βš– 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 – __Ξ±__)__f__(__z__) + __Ξ±zf__β€²(__z__) : __f__ ∈ __S__} for fixed __Ξ±__ ∈ β„‚. Using a linearization method we find the exact