Regions of variability for convex functi
β
Hiroshi Yanagihara
π
Article
π
2006
π
John Wiley and Sons
π
English
β 133 KB
## Abstract Let π be the class of convex univalent functions __f__ in the unit disc π» normalized by __f__ (0) = __f__ β²(0) β 1 = 0. For __z__ ~0~ β π» and |__Ξ»__ | β€ 1 we shall determine explicitly the regions of variability {log __f__ β²(__z__ ~0~): __f__ β π, __f__ β³(0) = 2__Ξ»__ }. (Β© 2006 WILEYβVC