MEROMORPHIC SOLUTIONS OF q-SHIFT DIFFERENCE EQUATIONS

被引：0

作者：

Qi, Xiaoguang ^{[1
]}

Yang, Lianzhong ^{[2
]}

Liu, Yong ^{[3
]}

机构：

[1] Univ Jinan, Sch Math, Jinan 250022, Shandong, Peoples R China

[2] Shandong Univ, Sch Math, Jinan 250100, Shandong, Peoples R China

[3] Shaoxing Coll Arts & Sci, Dept Math, Shaoxing 312000, Zhejiang, Peoples R China

来源：

MATHEMATICA SLOVACA | 2016年 / 66卷 / 03期

基金：

中国国家自然科学基金;

关键词：

meromorphic functions; growth; q-shift difference equation; ORDER;

D O I：

10.1515/ms-2015-0168

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In this paper, we consider the growth of meromorphic solutions of some generalized q-shift difference equation A(n)(z) f(qz + n) + ... + A(1)(z) f(qz + 1) + A(0)(z) f(qz) = 0. Moreover, we also investigate the existence of transcendental meromorphic solutions of Fermat type of q-shift difference equations. (C) 2016 Mathematical Institute Slovak Academy of Sciences

引用

页码：667 / 676

页数：10

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