Acta mathematica scientia,Series A ›› 2011, Vol. 31 ›› Issue (5): 1290-1294.

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Normality Criterion of Meromorphic Functions Concerning Shared Set

 ZHANG Han1, XIE Dong2, ZHANG Qiang-De3   

  1. 1.Department of Mathematics, Hanshan Middle School, Anhui Hanshan 238100;
    2.Department of Science, Bozhou Teachers College, Anhui Bozhou |236800;
    3.School of Mathematics, Chengdu University of Information Technology, Chengdu 610225
  • Received:2009-01-15 Revised:2011-08-19 Online:2011-10-25 Published:2011-10-25
  • Supported by:

    安徽省教育厅自然科学研究项目``亚纯函数的正规性与唯一性研究''(KJ2010B124)资助

Abstract:

Let F be a family of meromorphic functions in a domain D and S be a set consisting of three distinct elements. Let a be a finite complex number and k(>2) be a positive integer. If each f ∈F satisfies that the zeros and poles of f-a are of multiplicity ≥k and \overline{E}(S, f)=\overline{E}(S, f(k), then F is normal in D.

Key words: Meromorphic functions, Normal family, Shared set

CLC Number: 

  • 30D35
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