线性差分方程亚纯解的若干性质

Some properties of the meromorphic solutions of linear difference equation

研究了多项式系数差分方程P_n(z)f(z+n)+…+P_1(z)f(z+1)+P_0(z)f(z)=0和P_n(z)f(z+n)+…+P_1(z)f(z+1)+P_0(z)f(z)=F(z)的亚纯解的增长性、零点收敛指数和小函数之间的关系,得到的结果推广了相关的结论.

We investigate the relationship between function of small growth and the order,the exponent of convergence of zeros of the meromorphic solution of difference equations Pn(z)f(z+n)+… +P1(z)f(z+1)+P0(z)f(z)= 0 and Pn(z)f(z+n)+… +P1(z)f(z +1)+P0(z)f(z)= F(z),where F(z),P0(z),…,Pn(z)are polynomials,which generalize the related results.