Acta mathematica scientia,Series A ›› 2014, Vol. 34 ›› Issue (2): 317-326.

• Articles • Previous Articles     Next Articles

Zeros of Differential Polynomials and Normal Criterions

 LU Qian, LIAO Qi-Long   

  1. Department of Mathematics, Southwest University of Science and Technology, Sichuan Mianyang 621010|Department of Material Science and Engineer, Southwest University of Science and Technology, Sichuan Mianyang 621010
  • Received:2011-10-19 Revised:2013-06-16 Online:2014-04-25 Published:2014-04-25
  • Supported by:

    国家工业技术发展项目(B3120110001)和四川省科技厅应用基础项目(07JY0029-06)资助.

Abstract:

Let F be a family of meromorphic function in a plane domain D, all of whose poles is of multiplicity k at least and zeros are of multiplicity s at least. Suppose that a and b are two complex numbers, a, b∈C, a≠0. If for every pair function f(z), g(z)∈F, f(k)-af3 and g(k)-ag3 share a value b, then F is normal in D, where s=3 as k=2, s=k as k≥3.

Key words: Normal family, Meromorphic function, Shared Value, Differential polynomial

CLC Number: 

  • 30D35
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