摘要
Let F be a family of meromorphic functions on the unit disc A. Let a be a non-zero finite value and k be a positive integer. If for every f ∈ F,(i) f and f(k) share α ;(ii) the zeros of f(z) are of multiplicity ≥k + 1 , then F is normal on △.We also proved corresponding results on normal functions and a uniqueness theorem of entire functions .
设F是单位圆盘△上的亚纯函数族,α是一个非零的有穷复数,k是正整数,如果(?)f∈F,满足 1)f的零点重级≥k+1; 2)f和f(k)IM分担α,则F在△上正规. 此外,还证明了相应于正规函数以及整函数的唯一性定理方面的的结果.
