摘要
Let {fn} be a sequence of functions meromorphic in a domain D, let {hn} be a sequence of holomorphic functions in D, such that hn（z） x h（z）, where h（z） 0 is holomorphic in D, and let k be a positive integer. If for each n ∈ N＋, fn（z） ≠ 0 and fn（k）（z） - hn（z） has at most k distinct zeros （ignoring multiplicity） in D, then {fn} is normal in D.
Let {fn} be a sequence of functions meromorphic in a domain D, let {hn} be a sequence of holomorphic functions in D, such that hn（z） x h（z）, where h（z） 0 is holomorphic in D, and let k be a positive integer. If for each n ∈ N＋, fn（z） ≠ 0 and fn（k）（z） - hn（z） has at most k distinct zeros （ignoring multiplicity） in D, then {fn} is normal in D.
基金
Supported by the NNSF of China(Grant.No.11:371149)
