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Pure Mathematics 2020
涉及差分与平移的亚纯函数的有理函数的收敛指数
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Abstract:
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.
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