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
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页码：667 / 676
页数：10
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