Some results on q-difference equations

被引：1
|
作者：
Zhang, Junchao [1 ]
Wang, Gang [2 ]
Chen, Junjie [1 ]
Zhao, Rongxiang [3 ]
机构：
[1] Taiyuan Univ Technol, Coll Comp Sci & Technol, Taiyuan 030024, Peoples R China
[2] Shandong Transport Vocat Coll, Weifang 261206, Shandong, Peoples R China
[3] Shanxi Taiyuan Tideflow Elect Technol Co Ltd, Taiyuan 030024, Taiwan
来源：
ADVANCES IN DIFFERENCE EQUATIONS | 2012年
关键词：
uniqueness; q-shift; q-difference equations; entire functions; zero order; Nevanlinna theory;
D O I：
10.1186/1687-1847-2012-191
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this paper, we consider the q-difference analogue of the Clunie theorem. We obtain there is no zero-order entire solution of f(n)(z) + (del(q)f(z))(n) = 1 when n >= 2; there is no zero-order transcendental entire solution of f(n)(z) + P(z)(del(q)f(z))(m) = Q(z) when n > m >= 0; and the equation f(n) + P(z)del(q)f(z) = h(z) has at most one zero-order transcendental entire solution f if f is not the solution of del(q)f(z) = 0, when n >= 4.
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页数：11
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