与例外函数列相关的正规族

Normal families on sequence of omitted functions

设{fn}是区域D内的亚纯函数列,其零点的重级均≥3,且均仅有一个重级极点.{hn}是D内的亚纯函数列,且hn■h于D,h■∞,h≠0.若f′n≠hn;则{fn}在D内正规.

Let {fn} be a sequence of meromorphic functions on a domain D all of whose zeros have multiplicity at least 3,and each of which has a multiple pole. Let {hn} be a sequence of meromorphic functions on D, such that {hn} converges spherically locally uniformly to a function h which is meromorphic and zero-free on D. If f＇ ≠ hn, then {fn} is normal on D.