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Some Normal Criteria about Shared Values with Their Multiplicity Zeros

Jianming Qi and Taiying Zhu

Abstract and Applied Analysis, 2010, vol. 2010, issue 1

Abstract: Let ℱ be a family of meromorphic functions in the domain D, all of whose zeros are multiple. Let n (n ≥ 2) be an integer and let a, b be two nonzero finite complex numbers. If f + a(f′) n and g + a(g′) n share b in D for every pair of functions f, g ∈ ℱ, then ℱ is normal in D.

Date: 2010
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https://doi.org/10.1155/2010/147878

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