Chinese Quarterly Journal of Mathematics ›› 2012, Vol. 27 ›› Issue (3): 452-457.

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The Generalized Roper-suffridge Operator in Banach Spaces 

  

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

  • Received:2011-06-03 Online:2012-09-30 Published:2023-03-24
  • About author:WANG Xiao-feng(1966-), female, native of Pingdingshan, Henan, an associate professor of Henan University of Urban Construction, engages in complex analysis; RUAN Lin-yao(1984-), male, native of Nanyang, Henan, M.S.D, a lecturer of Henan University, engages in complex analysis; ZHANG Fang-fang(1986-), female, native of Kaifeng, Henan, a postgraduate student of Henan University, engages in complex analysis.
  • Supported by:
    Supported by the NNSF of China(10971219)

Abstract: In this paper, by the definition of spirallike mapping of type β and order α ,we discuss that the generalized Roper-Suffridge extension operator preserves spirallikeness of type β and order α in complex Banach spaces.

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