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2014 A Note on Strongly Starlike Mappings in Several Complex Variables
Hidetaka Hamada, Tatsuhiro Honda, Gabriela Kohr, Kwang Ho Shon
Abstr. Appl. Anal. 2014: 1-4 (2014). DOI: 10.1155/2014/265718

Abstract

Let f be a normalized biholomorphic mapping on the Euclidean unit ball 𝔹n in n and let α0,1. In this paper, we will show that if f is strongly starlike of order α in the sense of Liczberski and Starkov, then it is also strongly starlike of order α 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 n2.

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Hidetaka Hamada. Tatsuhiro Honda. Gabriela Kohr. Kwang Ho Shon. "A Note on Strongly Starlike Mappings in Several Complex Variables." Abstr. Appl. Anal. 2014 1 - 4, 2014. https://doi.org/10.1155/2014/265718

Information

Published: 2014
First available in Project Euclid: 2 October 2014

zbMATH: 07022050
MathSciNet: MR3178860
Digital Object Identifier: 10.1155/2014/265718

Rights: Copyright © 2014 Hindawi

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