A Note on Strongly Starlike Mappings in Several Complex Variables

Hidetaka Hamada, Tatsuhiro Honda, Gabriela Kohr and Kwang Ho Shon

Abstract and Applied Analysis, 2014, vol. 2014, issue 1

Abstract: Let f be a normalized biholomorphic mapping on the Euclidean unit ball 𝔹n in ℂn and let α ∈ (0,1). 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 n ≥ 2.

Date: 2014
References: Add references at CitEc
Citations:

Downloads: (external link)
https://doi.org/10.1155/2014/265718

Related works:
This item may be available elsewhere in EconPapers: Search for items with the same title.

Export reference: BibTeX RIS (EndNote, ProCite, RefMan) HTML/Text

Persistent link: https://EconPapers.repec.org/RePEc:wly:jnlaaa:v:2014:y:2014:i:1:n:265718

Access Statistics for this article

More articles in Abstract and Applied Analysis from John Wiley & Sons
Bibliographic data for series maintained by Wiley Content Delivery ().