A note on strongly starlike mappings in several complex variables
type: Item
instance of: scholarly article
title: A note on strongly starlike mappings in several complex variables
zbMATH Open document ID: 1470.32038
DOI: 10.1155/2014/265718
author: H. Hamada
author: T. Honda
author: G. Kohr
author: Kwang Ho Shon
published in: Abstract and Applied Analysis
publication date: 2019-02-14T00:00:00Z
review text: 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 \(n \geq 2\).
Mathematics Subject Classification ID: 32H02
Mathematics Subject Classification ID: 32A30
zbMATH DE Number: 7022050
MaRDI profile type: Publication
full work available at URL: https://doi.org/10.1155/2014/265718
OpenAlex ID: W1971619739
Wikidata QID: Q59037343
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description: scientific article; zbMATH DE number 7022050