Normal families of meromorphic functions concerning shared values |
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Authors: | Qingcai Zhang |
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Affiliation: | School of Information, Renmin University of China, Beijing 100872, People's Republic of China |
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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, f′−afn and g′−agn 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. |
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Keywords: | Normal family Meromorphic function Shared value |
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