【摘要】 复平面上两个亚纯函数f与g若IM分担{∞},它们的一个微分单项式IM分担1,则或者f(z)≡tg(z),(tn+m*=1),或者f(z)=c1ecz,g(z)=c2e-cz,或者f,g满足代数方程R(f,g)≡0,其中R(ω1,ω2)=ωn1(μω1m+λ)-ωn2(μω2m+λ).更多还原

【Abstract】 Let f and g be two non-constant meromorphic functions in the complex plane.Suppose that f and g share {∞} IM and their derivatives share 1 IM.Then either f(z)≡tg(z),(tn+m=1),or f(z)=c1ecz,g(z)=c2e-cz,or f and g satisfy the algebraic equation R(f,g)≡0,where R(ω1,ω2)=ωn1(μωm1+λ)-ωn2(μωm2+λ).更多还原