具有两个分担值集的亚纯函数唯一性

Uniqueness of Meromorphic Functions Sharing Two Sets

证明了若f与g是两个非常数亚纯函数,满足E(S,f)=E(S,g)和E(∞,f)=E(∞,g),并且有λΘ(∞,f)+μΘ(∞,g)>1/2,这里S={ωω7-42ω2+70ω-30=0},且λ+μ=1,λ,μ∈[0,1],则f≡g.

Let S={ω｜ω^7-42ω^2＋70ω-30=0} and λ＋μ=1,λ,μ∈[0,1] Assume that f and g are two nonconstant meromorphic functions such that E（S,f）=E（S,g）,E（∞,f）=E（∞,g）,and λΘ（∞,f）＋μΘ（∞,g）〉1/2,Then f≡g.