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This paper investigates the relationship between the normality and the shared values for a meromorphic function on the unit disc Δ. Based on Marty’s normality criterion and through a detailed analysis of the meromorphic functions, it is shown that if for every f ∈ $$\mathcal{F}$$ , f and f(k) share a and b on Δ and the zeros of f(z) − a are of multiplicity k ⩾ 3, then $$\mathcal{F}$$ is...
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