Yan-Ping Zhou, Xiu-Min Zheng
Abstract:
In this article, we study the growth of meromorphic solutions of homogeneous
and non-homogeneous linear difference equations and linear
differential-difference equations. When there exists only one coefficient
having the maximal iterated order or having the maximal iterated type among
those having the maximal iterated order, and the above coefficient
satisfies certain conditions on its poles, we obtain estimates on the
lower bound of the iterated order of the meromorphic solutions.
The case p=1 is also discussed and corresponding
results are obtained by strengthening some conditions.
Submitted August 22, 2016. Published January 30, 2017.
Math Subject Classifications: 30D35, 39B32, 39A10.
Key Words: Linear difference equation; linear differential-difference equation;
meromorphic solution; iterated order; iterated type.
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Yan-Ping Zhou Institute of Mathematics and Information Science Jiangxi Normal University Nanchang 330022, China email: m18720964375@163.com |
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Xiu-Min Zheng Institute of Mathematics and Information Science Jiangxi Normal University Nanchang 330022, China email: zhengxiumin2008@sina.com |
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