| Normal Families of Zero-free Meromorphic Functions Ⅱ |
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| 基金项目： | Supported by the NNSF of China（11371149） |
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| 摘 要： | Let k, m be two positive integers with m ≤ k and let F be a family of zero-free meromorphic functions in a domain D, let h(z) ≡ 0 be a meromorphic function in D with all poles of h has multiplicity at most m. If, for each f ∈ F, f(k)(z) = h(z) has at most k- m distinct roots(ignoring multiplicity) in D, then F is normal in D. This extends the results due to Chang[1], Gu[3], Yang[11]and Deng[1]etc.
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| 关 键 词： | meromorphic function normality shared value |
Normal Families of Zero-free Meromorphic Functions II |
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| DENG Bing-mao,;LIU Dan,;WANG Xue-qin,;YA NG De-gui. Normal Families of Zero-free Meromorphic Functions II[J]. Chinese Quarterly Journal of Mathematics, 2014, 0(3): 438-446 |
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| Authors: | DENG Bing-mao, LIU Dan, WANG Xue-qin, YA NG De-gui |
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| Affiliation: | [1]South China Institute of Software Engineering, Guangzhou University, Guangzhou 510990, China; [2]Institute of Applied Mathematics, South China Agricultural University, Guangzhou 510642, China |
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