A note on strongly starlike mappings in several complex variables
Summary: Let \(f\) be a normalized biholomorphic mapping on the Euclidean unit ball \(\mathbb{B}^n\) in \(\mathbb C^n\) and let \(\alpha \in \left(0,1\right)\). In this paper, we will show that if \(f\) is strongly starlike of order \(\alpha\) in the sense of Liczberski and Starkov, then it is also strongly starlike of order \(\alpha\) in the sense of Kohr and Liczberski. We also give an example which shows that the converse of the above result does not hold in dimension \(n \geq 2\).
scientific article; zbMATH DE number 7022050
scientific article