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.

引用

页数：11

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