亚纯函数相关于Hayman问题的值分布

On the value distribution of meromorphic functions related to hayman problem

利用亚纯函数Nevanlinna值分布理论和方法,研究了亚纯函数相关于一类Hayman问题的值分布.讨论了f m(f(k))n-φ的零点问题,给出了一个关于密指量的特征函数T(r,f)的定量估计,该定理进一步推广并改进了杨永增等的有关结论.

By using the Nevanlinna value distribution theory and method of meromorphic function,the value distribution of meromorphic function related to a class of Hayman problem is studied.The zeros point problem of f m(f(k))n-φis discussed,and a quantitative estimate of the characteristic function T(r,f)of density index is given.The relative results due to Yang yongzeng and others are further extended and improved by this theorem.