Abstract
Let ${\S}$ be the class of all normalized analytic and univalent functions in the unit disk $\ID$. In this paper, we determine condition so that each section $s_{n}(f,z)$ of $f\in {\S}$ is starlike in the disk $|z|\lt r_n$. In particular, $s_{n}(f,z)$ is starlike in $|z|\leq 1/2$ for $n \geq 47$.
Citation
M. Obradović. S. Ponnusamy. "Starlikeness of sections of univalent functions." Rocky Mountain J. Math. 44 (3) 1003 - 1014, 2014. https://doi.org/10.1216/RMJ-2014-44-3-1003
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