涉及差分与平移的亚纯函数的有理函数的收敛指数

The Exponents of Convergence of Rational Functions of Meromorphic Functions Concerning Differences and Shifts

设c是一个非零有穷复数, f是一个有穷级超越亚纯函数, R是一个非常数有理函数, 本文研究f(z)−R(z),f(z+c)−R(z)及∆cf(z)−R(z)的零点收敛指数与f的级之间的关系。 由此推广了Chen, Zhang-Chen, Chen-Zheng等人的结果。

Let c be a nonzero finite complex number, let f be a transcendental meromorphic function of finite order, and let R be a nonconstant rational function. It is studied that the relationship between the exponent of convergence of zeros of f(z)−R(z), f(z+c)−R(z), and ∆cf(z)−R(z) and the order of f . This improves the results of Chen,Zhang-Chen and Chen-Zheng.