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Normal families of meromorphic functions concerning shared values
Authors:Qingcai Zhang
Institution:School of Information, Renmin University of China, Beijing 100872, People's Republic of China
Abstract:In this paper we study the problem of normal families of meromorphic functions concerning shared values and prove that a family F of meromorphic functions in a domain D is normal if for each pair of functions f and g in F, fafn and gagn share a value b in D where n is a positive integer and a,b are two finite constants such that n?4 and a≠0. This result is not true when n?3.
Keywords:Normal family  Meromorphic function  Shared value
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