一类分担小函数的整函数的唯一性

The Uniqueness of a Class of Entire Functions Sharing Small Functions

本文推进了前人的结果得到如下定理成立:设f(z)与g(z)是两个非常数整函数,且ρf<3/4 ,p1(z)与p2(z)是两个判别多项式,若f(z)与g(z) 以p1(z)与p2(z)为IM分担小函数,且f(z)-g(z) 有无穷多个重零点,则 f(z)≡g(z)。。

This paper improves the previous results, the following theorem is established: Let f(z) and g(z) be two non-constant entire functions, and satisfy ρf<3/4, where p1(z) and p2(z) are two discriminant polynomials, if p1(z) and p2(z) are IM sharing functions of f(z) and g(z), and f(z)-g(z) has infinitely zero of multiplicity, thenf(z)≡g(z) .