﻿ 涉及差分与平移的亚纯函数的有理函数的收敛指数

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

Abstract: 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.

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