A note on a difference analogue of the Valiron-Mohon'ko theorem

被引：1

作者：

Liu, K. ^{[1
]}

Tu, J. ^{[2
]}

机构：

[1] Nanchang Univ, Dept Math, Nanchang 330031, Jiangxi, Peoples R China

[2] Jiangxi Normal Univ, Coll Math & Informat Sci, Nanchang 330022, Jiangxi, Peoples R China

来源：

ANALYSIS MATHEMATICA | 2017年 / 43卷 / 03期

关键词：

The Valiron-Mohon'ko theorem; characteristic function; Borel exceptional value; EQUATIONS;

D O I：

10.1007/s10476-017-0403-2

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

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.

引用

页码：489 / 500

页数：12

共 20 条

[1] A note on a difference analogue of the Valiron–Mohon’ko theorem
K. Liu
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Analysis Mathematica, 2017, 43 : 489 - 500
[2] Results on Difference Analogues of Valiron-Mohon'ko Theorem
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