ON GROWTH OF MEROMORPHIC SOLUTIONS OF NONLINEAR DIFFERENCE EQUATIONS AND TWO CONJECTURES OF CC YANG

被引：3

作者：

Zhang, Yueyang ^{[1
]}

Gao, Zongsheng

Zhang, Jilong

机构：

[1] Beihang Univ, LMIB, Beijing 100191, Peoples R China

来源：

ACTA MATHEMATICA SCIENTIA | 2016年 / 36卷 / 01期

关键词：

growth; meromorphic solutions; difference equations; conjectures;

D O I：

10.1016/S0252-9602(15)30087-4

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In this paper, we investigate the growth of the meromorphic solutions of the following nonlinear difference equations f(z)(n) + Pn-1(f) = 0, where n >= 2 and Pn-1(f) is a difference polynomial of degree at most n - 1 in f with small functions as coefficients. Moreover, we give two examples to show that one conjecture proposed by Yang and Laine [2] does not hold in general if the hyper-order of f (z) is no less than 1.

引用

页码：195 / 202

页数：8

共 17 条

[1] On growth, zeros and poles of meromorphic solutions of linear and nonlinear difference equations [J].