Abstract

We study the normality of families of meromorphic functions related to a Hayman conjecture. 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′ − afn and g′ − agn share the value b for n = 1, 2, and 3, where a and b ≠ 0 are two finite complex numbers. Some examples show that the conditions in our results are the best possible.

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