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  • 标题:The value distribution of fm + a(f(k))n and normal families of meromorphic functions
  • 本地全文:下载
  • 作者:Yang, Qi ; Cao, Yuebo
  • 期刊名称:Journal of Networks
  • 印刷版ISSN:1796-2056
  • 出版年度:2014
  • 卷号:9
  • 期号:9
  • 页码:2371-2375
  • DOI:10.4304/jnw.9.9.2371-2375
  • 语种:English
  • 出版社:Academy Publisher
  • 摘要:In this paper, we obtain a normal criterion of meromorphic functions concerning shared values. Let Dbe a domain in C and F be a family of meromorphic functions in D. Let k, n,m ∈ N+, n ≥ mk+m+1, and a, btwo finite complex numbers with a 6= 0. Suppose that every f ∈ F has all its zeros of multiplicity at least k + 1 . If fm + a(f(k))n and gm + a(g(k))nshare the value b IM for every pair of functions (f, g) of F, then F is a normal family in D.
  • 关键词:Meromorphic function;Shared value;Normal criterion
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