%0 Journal Article
%T 涉及差分与平移的亚纯函数的有理函数的收敛指数<br>The Exponents of Convergence of Rational Functions of Meromorphic Functions Concerning Differences and Shifts
%A 杨世伟
%A 杨德贵
%J Pure Mathematics
%P 826-836
%@ 2160-7605
%D 2020
%I Hans Publishing
%R 10.12677/PM.2020.109095
%X <p align=\"justify\">
	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？<sub>c</sub>f(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。<br />
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 ？<sub>c</sub>f(z)？R(z) and the order of f . This improves the results of Chen,Zhang-Chen and Chen-Zheng.
</p>
%K 亚纯函数，差分，平移，收敛指数<br>Meromorphic Functions
%K Differences
%K Shifts
%K The Exponent of Convergence
%U http://www.hanspub.org/journal/PaperInformation.aspx?PaperID=37575