【摘要】：主要研究差分方程a_1(z)f(x+1)+a_0(z)f(z)=F(z)的一個有窮級超越亞純解f(z)與亞純函數(shù)g(z)分擔0,1,∞CM時的唯一性問題(其中a_(z),a0(z),F(z)為非零多項式,且滿足a_1(z)+a_0(z)■0),得到f(x)≡g(z),或f(z)+g(z)≡f(z)g(z),或存在一個多項式β(z)=az+b_0和一個常數(shù)a_0滿足e~(a_0)≠e~(b_0),使得f(z)=(1-e~(β(x)))/(e~(β(x))(e~(a_o-b_0)-1))與g(z)=(1-e~(β(x)))/(1-e~(b_o-a_0)),其中a(≠0),b_0為常數(shù).
[Abstract]:In this paper, we study a finite order transcendental meromorphic solution f (z) and meromorphic function g (z) sharing 0 ~ 1 of a finite order transcendental meromorphic solution of difference equation a _ s _ 1 (z) f (x _ 1) _ a _ 0 (z) f (z) = F (z). The uniqueness problem of 鈭，

本文編號：2371537