Some results on q-difference equations

被引：0
作者：
Junchao Zhang
Gang Wang
Junjie Chen
Rongxiang Zhao
机构：
[1] Taiyuan University of Technology,College of Computer Science and Technology
[2] Shandong Transport Vocational College,undefined
[3] Shanxi Taiyuan Tideflow Electronic Technology Co.,undefined
[4] Ltd.,undefined
来源：
Advances in Difference Equations | / 2012卷
关键词：
uniqueness; -shift; -difference equations; entire functions; zero order; Nevanlinna theory;
D O I：
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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 fn(z)+(∇qf(z))n=1 when n≥2; there is no zero-order transcendental entire solution of fn(z)+P(z)(∇qf(z))m=Q(z) when n>m≥0; and the equation fn+P(z)∇qf(z)=h(z) has at most one zero-order transcendental entire solution f if f is not the solution of ∇qf(z)=0, when n≥4.
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