文章基本信息

标题：The value distribution of fm + a(f(k))n and normal families of meromorphic functions
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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