亚纯函数f(qz+c)的Nevanlinna理论以及应用的研究

Nevanlinna Theory for the f(qz+c) and Its Applications

通过研究(f(qz+c))/(f(z))的均值函数,得到Nevanlinna理论第二基本定理的q阶差分对应.作为应用,给出了T(r,f(qz+c))与T(r,f)之间的关系,并考虑了函数f(z)与f(qz+c)的分担值问题.

In this paper,we investigate the proximity function of f（qz＋c）/f（c） and present a q-shift difference analogue of the second main theorem of Nevanlinna theory.As applications,we will give the relation of T（r,f（qz ＋ c）） and T（r,f）,and consider the value sharing problem of f（z） and its q-shift difference f（qz ＋ c） as well.