Journal of East China Normal University(Natural Sc ›› 2003, Vol. 2003 ›› Issue (4): 12-18.

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Shared Values and Normality

ZHANG Wen-hua1,2,PANG Xue-cheng1   

  1. 1.Department of Mathematics,East China Normal University, Shanghai 20062,China 2.Department of Mathematics, East China University of Science and Technology,Shanghai 200237,China
  • Received:2001-12-19 Revised:2002-01-21 Online:2003-12-25 Published:2003-12-25

Abstract:

Let ∮be a family of meromorphic function on the unit disc ⊿ and let a and b be distinct values. If for every f∈∮, f and f(k) share a and b on ⊿ and the zero of f(z)-a are of multiplicity ≧k,where k≧3 be a positive integer,then ∮ is normal on ⊿.

Key words: shared values, normal family, meromorphic function, shared values, normal family