以权1分担两个公共值集的亚纯函数

Meromorphic functions sharing two sets with weighted value of one

研究了亚纯函数以权1分担两个公共值集的唯一性问题,设S={ω∈C;aωn-n(n-1)ω2+2n(n-2)bω-(n-1)(n-2)b2=0},其中a,b为两个非零复数,且满足abn-2≠2,如果n≥11,f和g以权1分担S,E—(∞,f)=E—(∞,g),则f≡g.

The uniqueness of meromorphic functions sharing two sets with weigted value of one was dealt with.Seting S={ω∈C;aωn-n（n-1）ω2＋2n（n-2）bω-（n-1）（n-2）b2=0},a,b being two nonzero numbers and abn-2≠2,if n≥11,f and g share S with weigted value of one,E—（∞,f）=E—（∞,g）,then f≡g.