On difference Riccati equations and second order linear difference equations

On difference Riccati equations and second order linear difference equations
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DOI:
10.1007/s00010-010-0060-z
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发表时间:
2011-01
影响因子:
0.8
通讯作者:
K. Ishizaki
K. Ishizaki
中科院分区:
数学3区
文献类型:
--
作者:
K. Ishizaki

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本文讨论复平面上的差分Riccati方程和二阶线性差分方程。我们给调查的基本性质,这些方程是类似的微分情况。我们研究了这类方程的超越亚纯解的增长性和值分布。文中给出了一些实例。
In this paper, we treat difference Riccati equations and second order linear difference equations in the complex plane. We give surveys of basic properties of these equations which are analogues in the differential case. We are concerned with the growth and value distributions of transcendental meromorphic solutions of these equations. Some examples are given.