与例外函数列相关的正规族

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.

Normal families on sequence of omitted functions

Let~${f_{n}}$~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 ${h_{n}}$~be a sequence of
meromorphic functions on~$D$, such that~${h_{n}}$~converges
spherically locally uniformly to  a function~$h$ which is
meromorphic and zero-free on $D$. If~$f'_{n}ne h_{n}$,
then~${f_{n}}$~is normal on~$D$.