涉及分担一个非零值的亚纯函数的正规定则

Normal criteria of meromorphic functions related to a shared nonzero value

设F为区域D内的亚纯函数族,n(3),m(1)为两正整数,b为非零有穷复数,若对f,g∈F,在D内fn(fm-1)f′与gn(gm-1)g′IM分担b,则F在D内正规.

Let F be a family of meromorphic functions in a domain D and b be a finite nonzero complex number. If for each pair of functions f and g in F, f^n（fm-1）f and g^n（gm-1）g＇IM share b in D, where n （≥3）, m （≥ 1 ） are two positive integers. Then F is a normal family in D.