journal6 ›› 2011, Vol. 32 ›› Issue (1): 18-21.

• Mathematics • Previous Articles     Next Articles

Further Result of the Normal Family  of Meromorphic Functions


  1. (School of Mathematics and Information Sciences,Guangzhou University,Guangzhou  510006,China)
  • Online:2011-01-25 Published:2012-04-10

Abstract: Let F be a family of meromorphic functions in a domain D,and let k,n(n≥k+2) be  positive integers.Let a≠0 be a finite complex number.If for each f∈F,the zeros of f have multiplicity at least  n,and G(f) and G(g) share b in D for every pair of functions f,g∈F,where G(f)=P(f(k))+H(f) is a differential polynomial of f Fis normal in D.

Key words: meromorphic functions, normal family, differential polynomial

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