Normal Criteria of Function Families Concerning Shared Values

作者:Yuan, Wenjun; Zhu, Bing; Lin, Jianming*
来源:Journal of Applied Mathematics, 2011, 790942.
DOI:10.1155/2011/790942

摘要

We study the normality of families of meromorphic functions concerning shared values. We consider whether a family of meromorphic functions F is normal in D, if, for every pair of functions f and g in F, f' - a(f-n) and g' - ag(-n) share the value b, where a and b are two finite complex numbers such that a not equal 0, n is a positive integer. Some examples show that the conditions in our results are best possible.

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