Some properties of solutions of complex q-shift difference equations

被引：6

作者：

Xu, Hong-Yan ^{[1
]}

Tu, Jin ^{[2
]}

Zheng, Xiu-Min ^{[2
]}

机构：

[1] Jingdezhen Ceram Inst, Dept Informat & Engn, Jingdezhen 333403, Jiangxi, Peoples R China

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

来源：

ANNALES POLONICI MATHEMATICI | 2013年 / 108卷 / 03期

关键词：

q-shift; difference equation; transcendental meromorphic function; MEROMORPHIC FUNCTIONS; POLYNOMIALS;

D O I：

10.4064/ap108-3-6

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

Combining difference and q-difference equations, we study the properties of meromorphic solutions of q-shift difference equations from the point of view of value distribution. We obtain lower bounds for the Nevanlinna lower order for meromorphic solutions of such equations. Our results improve and extend previous theorems by Zheng and Chen and by Liu and Qi. Some examples are also given to illustrate our results.

引用

页码：289 / 304

页数：16

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