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A Note on Strongly Starlike Mappings in Several Complex Variables

Author

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  • Hidetaka Hamada
  • Tatsuhiro Honda
  • Gabriela Kohr
  • Kwang Ho Shon

Abstract

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

Suggested Citation

  • Hidetaka Hamada & Tatsuhiro Honda & Gabriela Kohr & Kwang Ho Shon, 2014. "A Note on Strongly Starlike Mappings in Several Complex Variables," Abstract and Applied Analysis, Hindawi, vol. 2014, pages 1-4, March.
    • Handle: RePEc:hin:jnlaaa:265718
    DOI: 10.1155/2014/265718
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