采用分担值的思想,考虑了整函数分担一个值的惟一性问题,主要证明了:设f(z)和g(z)是2个非常数整函数,正整数k,n满足n≥2k+11。若[f^n(f^2-1)]^(k)和[g^n(g^2-1)]^(k)以1为CM公共值,则f(z)≡g(z)。
The uniqueness of entire functions that share one value was studied, and the following result was proved : For two non-constant entire functionsf(z) and g(z) , If [f^n(f^2-1)]^(k) and [g^n(g^2-1)]^(k) share 1 as CM, where k and n are two positire integers satisfying n≥k + 11, then f(z) ≡g(z).