The sharp version of a criterion for starlikeness related to the operator of Alexander
Volume 94 / 2008
Annales Polonici Mathematici 94 (2008), 1-14
MSC: Primary 30C45.
DOI: 10.4064/ap94-1-1
Abstract
The method of convolution is used to determine a sharp condition for starlikeness of analytic functions defined in the unit disc $U=\{z\in{\mathbb C}:|z|<1\}$ and having the property $f(0)=f'(0)-1=0$. The integral version is given using the Alexander integral operator.
