Journal of East China Normal University(Natural Sc ›› 2004, Vol. 2004 ›› Issue (3): 6-10.

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Normal Families Concerning Differential Polynomial

WANG Xiao-jing1,2, PANG Xue-cheng2   

  1. 1. Department of Mathematics, Huaiyin Teachers’ College, Huaiyin 223001, China; 2. Department of Mathematics, East China Normal University, Shanghai 200062, China
  • Received:2003-09-03 Revised:2003-11-10 Online:2004-09-25 Published:2004-09-25
  • Contact: WANG Xiao-jing

Abstract: In this paper a general normal criterion is obtained, which improves the results given by Gu YX［1］ and Zhu JH［2］. Let F be a family of meromorphic functions on domain D, all of whose zeros are of multiplicity at least m+3. Let h≠0, a0, a1, …, am-1 be holomorphic functions on D. If for any f∈F, L(f)(z)=f(m)(z)+am-1(z)f(m-1)(z)+…+a1(z)f′(z)+a0(z)f(z)≠h(z), z∈D, then F is normal on D.

Key words: meromorphic functions, holomorphic functions, differential polynomial, normal family, meromorphic functions, holomorphic functions, differential polynomial

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