NORMAL FAMILIES OF ZERO-FREE MEROMORPHIC FUNCTIONS

Journal of the Australian Mathematical Society

BINGMAO DENG¹ 

[1] MINGLIANG FANG

关键词: primary 30D45;   

DOI  :  10.1017/S1446788711001571

学科分类：数学（综合）

来源: Cambridge University Press

【 摘 要 】

Let ℱ be a family of zero-free meromorphic functions in a domain D, let h be a holomorphic function in D, and let k be a positive integer. If the function f(k)−h has at most k distinct zeros (ignoring multiplicity) in D for each f∈ℱ, then ℱ is normal in D.

【 授权许可】

Unknown