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 ′ − a f n and g ′ − a g n 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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