Normal Families of Zero-free Meromorphic Functions II  

作　　者：DENG Bing-mao LIU Dan WANG Xue-qin YA NG 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》2014年第3期438-446,共9页数学季刊（英文版）

基　　金：Supported by the NNSF of China(11371149)

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.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 C .Y , f（k）（z） = h（z） has at most k - m distinct roots（ignoring multiplicity） in D, then S is normal in D. This extends the results due to Chang[1], Gu[3], Yang[11] and Deng[1] etc.

关 键 词：meromorphic function NORMALITY shared value 

分 类 号：O174.5[理学—数学]