Normality Criteria of Meromorphic Functions That Share a Holomorphic Function

Jie Ding, Jianming Qi and Taiying Zhu

Abstract and Applied Analysis, 2012, vol. 2012, issue 1

Abstract: Let ℱ be a family of meromorphic functions defined in D, let ψ(≢0), a0, a1, …, ak−1 be holomorphic functions in D, and let k be a positive integer. Suppose that, for every function f ∈ ℱ, f ≠ 0, P(f) = f(k) + ak−1f(k−1) + ⋯+a1f′ + a0f ≠ 0 and, for every pair functions (f, g) ∈ ℱ, P(f), P(g) share ψ, then ℱ is normal in D.

Date: 2012
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https://doi.org/10.1155/2012/582854

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Persistent link: https://EconPapers.repec.org/RePEc:wly:jnlaaa:v:2012:y:2012:i:1:n:582854

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