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Normality criterion concerning sharing functions II
"... Let F be a family of meromorphic functions in a domain D, and k be a positive integer, and let ϕ(z)(6 ≡ 0,∞) be a meromorphic function in D such that f and ϕ(z) have no common zeros for all f ∈ F and ϕ(z) has no simple zeros in D, and all poles of ϕ(z) have multiplicity at most k. If, for each f ∈ F ..."
Abstract

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Let F be a family of meromorphic functions in a domain D, and k be a positive integer, and let ϕ(z)(6 ≡ 0,∞) be a meromorphic function in D such that f and ϕ(z) have no common zeros for all f ∈ F and ϕ(z) has no simple zeros in D, and all poles of ϕ(z) have multiplicity at most k. If, for each f ∈ F, all zeros of f have multiplicity at least k + 1,
NORMALITY AND EXCEPTIONAL FUNCTIONS OF DERIVATIVES
 J. AUST. MATH. SOC. 76 (2004), 403–413
, 2004
"... In this paper, we obtain some normality criteria for families of meromorphic functions that concern the exceptional functions of derivatives, which improve and generalize related results of Gu, Yang, Schwick, WangFang, and PangZalcman. Some examples are given to show the sharpness of our results. ..."
Abstract

Cited by 1 (1 self)
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In this paper, we obtain some normality criteria for families of meromorphic functions that concern the exceptional functions of derivatives, which improve and generalize related results of Gu, Yang, Schwick, WangFang, and PangZalcman. Some examples are given to show the sharpness of our results.