A note on a difference analogue of the Valiron-Mohon'ko theorem
A note on a difference analogue of the Valiron-Mohon'ko theorem
复制标题
关于 Valiron–Mohon–ko 定理的差分类比的注记
DOI：
10.1007/s10476-017-0403-2
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发表时间：
2017
影响因子：
0.7
通讯作者：
Tu Jin
中科院分区：
文献类型：
--
作者：
Liu Kai;Tu Jin
Valiron-Mohon'ko定理在复微分方程理论中占有重要地位。本文建立了Valiron-Mohon'ko定理的一个差分模拟，它可用于求f（z）及其移位的不可约有理函数的特征函数。利用我们的结果和周期函数的一些性质，可以用一种简短的方式组织[10，定理1.1]的证明。
The Valiron–Mohon’ko theorem plays an important role in the theory of complex differential equations. In this paper, a difference analogue of the Valiron–Mohon’ko theorem is established, which can be used to get the characteristic functions on irreducible rational functions of f(z) and its shifts. Using our results and some properties of periodic functions, the proof of [10, Theorem 1.1] can be organized in a short way.