一类非线性差分方程亚纯解的值分布

Value Distribution of Meromorphic Solutions of a Certain Type of Nonlinear Difference Equations

摘要: 研究了一类非线性差分方程fn(z)+b_n－1(z)fn－1(z)++b2(z)f2(z)+L(z,f)=h(z),其中,b2(z),,b_n－1(z)为多项式,L(z,f)为f(z)的线性差分多项式，得到了这类方程亚纯解的存在性、增长性和值分布的一些结果.

Abstract: A certain type of nonlinear difference equations of the form fn(z)+b_n－1(z)fn－1(z)++b2(z)f2(z)+L(z,f)=h(z) is studied, where b2(z),,b_n－1(z) are polynomials and L(z,f) is a linear difference polynomial of f(z). Some results on existence, growth and value distribution of meromorphic solutions to these equations are obtained.