Chinese Quarterly Journal of Mathematics ›› 2013, Vol. 28 ›› Issue (2): 290-296.

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The Alexander Type Theorem in Several Complex Variables

  

  1. 1. Department of Mathematics, Huanghuai College 2. Department of Mathematics, Xuchang Vocational Technical College 3. Institute of Mathematics, College of Mathematics and Information Science, Henan University

  • Received:2011-12-31 Online:2013-06-30 Published:2023-03-03
  • About author:IU Ai-chao(1977-), male, native of Zhengzhou, Henan, a lecturer of Huanghuai College,M.S.D., engages in complex analysis; YAN Chun-yan(1979-), female, native of Zhumadian, Henan, a lecturer of Xuchang Vocational Technical College, engages in complex analysis; DUAN Xiao-ling(1986-), female, native of Nanyang, Henan, M.S.D., Henan University, engages in complex analysis; LIU Hao(1964-), male, native of Zhumadian, Henan, a professor of Henan University, Ph.D., engages in complex analysis.
  • Supported by:
    Supported by the NSFC(11271359)

Abstract: In this paper, the Alexander type theorem in several complex variables is given by using the parametric representation of a kind of starlike mappings. As a corollary, a new method is set up to prove that the Roper-Suffridge extension operator keeps the property of starlike.


Key words: starlike mappings, parametric representation, Roper-Suffridge extension operator

CLC Number: