Chinese Quarterly Journal of Mathematics ›› 2015, Vol. 30 ›› Issue (2): 267-273.doi: 10.13371/j.cnki.chin.q.j.m.2015.02.014

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Normal Families and Shared Functions

  

  1. Department of Applied Mathematics, South China Agricultural University
  • Received:2013-08-06 Online:2015-06-30 Published:2020-11-23
  • About author:WANG Xue-qin(1979-), female, native of Jiujiang, Jiangxi, a lecturer of South China Agricultural University, M.S.D., engages in complex analysis.
  • Supported by:
    Supported by the National Natural Science Foundation of China(11371149,11301076,11201219)；

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Abstract: Let k be a positive integer,let h be a holomorphic function in a domain D,h \neq 0and let F be a family of nonvanishing meromorphic functions in D.If each pair of functions f and q in F,f（k）and g（k）share h in D,then F is normal in D. 

Key words: normal families, meromorphic functions, shared functions

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