Normal families of meromorphic functions concerning shared values

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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, fafn and gagn share a value b in D where n is a positive integer and a,b are two finite constants such that n4 and a0. This result is not true when n3.

Keywords

Normal family
Meromorphic function
Shared value

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This work was supported by the National Natural Science Foundation of China.