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作 者:DENG Bing-mao LEI Chun-lin YANG De-gui
机构地区:[1]South China Institute of Software Engineering, Guangzhou University, Guangzhou 510990, China [2]Institute of Applied Mathematics, South China Agricultural University, Guangzhou 510642, China
出 处:《Chinese Quarterly Journal of Mathematics》2013年第1期87-92,共6页数学季刊(英文版)
基 金:Foundation item: Supported by the NNSF of China(11071083); Supported by the National Natural Science Foundation of Tianyuan Foundation(11126267)
摘 要:Let F be a family of functions meromorphic in a domain D, let m, n k , k be three positive integers and b be a finite nonzero complex number. Suppose that, (1) for eachf∈F, all zeros of f have multiplicities at least k ; (2) for each pair of functions f, g ∈F,P(f)H(f) and P(g)H(g) share b, where P(f) and H(f) were defined as (1.1) and (1.2) and nk ≥ max 1≤i≤k-1 {n i }; (3) m ≥ 2 or nk ≥ 2, k ≥ 2, then F is normal in D.Let F be a family of functions meromorphic in a domain D, tet m, nk, k be three positive integers and b be a finite nonzero complex number. Suppose that, (1) for each f ∈ F, all zeros of .f have multiplicities at least k ; (2) for each pair of functions f, g ∈ F, P(f)H(f) and P(g)H(g) share b, where P(f) and H(f) were defined as (1.1) and (1.2) and nk 〉 max (ni); (3) m ≥ 2 or nk ≥ 2, k≥2, then F is normal in D. ≥1〈i^max≥k-1{ni}; (3) m ≥2 or nk ≥ 2, k ≥ 2, then F is normal in D.
关 键 词:meromorphic function NORMALITY shared value
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