The sharp version of a criterion for starlikeness related to the operator of Alexander

Volume 94 / 2008

Róbert Szász Annales Polonici Mathematici 94 (2008), 1-14 MSC: Primary 30C45. DOI: 10.4064/ap94-1-1


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.


  • Róbert SzászSapientia – Hungarian University of Transilvania
    str. Sighişoarei, nr. 1c
    540053 Corunca, Judeţul Mureş

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