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Normality criteria of meromorphic functions sharing one value
Authors:Da-Wei Meng  Pei-Chu Hu
Institution:Department of Mathematics, Shandong University, Jinan 250100, Shandong, PR China
Abstract:Let k be a positive integer and F be a family of meromorphic functions in a domain DC such that each fF has only zeros of multiplicity at least k+1. If for each pair (f, g) in F, ff(k) and gg(k) share a non-zero complex number a ignoring multiplicity, then F is normal in D.
Keywords:Meromorphic functions  Normal family  Sharing values
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