微分多项式分担值的唯一性

Share values of differential polynomials

研究亚纯函数微分多项式分担值的唯一性问题。假设a,b,是非零常数正整数n,k满足n≥6k+21,若f^n+af^(k)与g^n+ag^(k)分担bIM并且f^n+af^k的b值点不是f,g的零点,则f,g恒等或者满足一定关系。

This paper investigated the uniqueness problem of differential polynomials of meromorphic func-tions.Let a,b be non-zero constants and let n,k be positive integers satisfying n≥6k＋2 1 .If fn＋af（k） and gn＋ag（k） share b IM andthe b-points of fn＋af（k）arenot the zeros of f and f,thenand are either equal or closely related.