一类非线性差分方程亚纯解的值分布

基金项目:

广东省自然科学基金项目(2016A030313745,2018A030313508);广东省高等学校优秀青年教师培养计划项目(Yq20145084602);广东省普通高校青年创新人才自然科学项目(2015KQNCX230)

详细信息

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

1.
(1. Department of Mathematics,Guangdong University of Education,Guangzhou 510303,China;
2.
2. School of Computer Engineering,Guangzhou College of South China University of Technology,Guangzhou 510800,China;
3.
3. School of Mathematical Sciences,South China Normal University,Guangzhou 510631,China)

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.
- 值分布 /
- 差分方程 /
- 亚纯函数 /
- 整函数
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.
- value distribution /
- difference equations /
- meromorphic functions /
- entire functions