Chinese Quarterly Journal of Mathematics ›› 2012, Vol. 27 ›› Issue (3): 323-327.

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One Note on the Convexity Radius of Holomorphic Mappings on the Unit Ball in Cn 

  

  1. 1. Department of Mathematics, Zhengzhou Normal University 2. Department of Mathematics and Physics, Henan University of Urban Construction 3. Institute of Mathematics and Information Science, Henan University

  • Received:2010-06-28 Online:2012-09-30 Published:2023-03-21
  • About author:XU Ji-jun(1967-), male, native of Zhengzhou, Henan, M.S.D., an associate professor of Zhengzhou Normal University, engages in algebra and complex analysis; WANG Xiao-feng(1966-), female, native of Pingdingshan, Henan, an associate professor of Henan University of Urban Construction, engages in complex analysis; LIU Hao(1964-), male, native of Zhumadian, Henan, Ph.D., a professor Henan University, engages in several complex variables.
  • Supported by:
    Supported by the NNSF of China(10971219)

Abstract: In this paper, we prove that: if M is a family which has convexity radius, then the convexity radius for M and the second order item coefficients of every mapping in M are closely related to each other. As an application, we show that the convexity radius of starlike mappings r(S*) < 2-√3.

Key words: starlike mappings, growth theorems, convex radius

CLC Number: