涉及导数与差分的亚纯函数的小函数的收敛指数与级

The Exponents and Order of Convergence of Small Functions of Meromorphic Functions Concerning Derivatives and Differences

设f(z)是一个复平面上的亚纯函数,c是一个非零有穷复数,a(z)是f(z)的一个小函数,本文研究f(z)a(z),f(z+c)-a(z)及△c^nf(z) a(z)(n∈N^+)的零点收敛指数与f(z)的级之间的关系.由此改进了涉及导数与差分的亚纯函数值分布的一些相关结果.

Letf(z) be a meromorphic function in the complex plane,let c be a nonzero finite complex number,and let a(z) be a small function with respect to f(z).It is studied that the relationship between the exponent of convergence of zeros of f(z)-a(z),f(z+c)-a(z),and Δc^nf(z)-a(z)(n ∈N^+) and the order of f(z).This improves some results in value distribution of meromorphic functions concerning derivatives and differences.