Shuang-Ting Lan, Zong-Xuan Chen
We consider the Schwarzian type difference equation
where R(z) is a nonconstant rational function. We study the existence of rational solutions and value distribution of transcendental meromorphic solutions with finite order of the above equation.
Submitted April 22, 2015. Published August 4, 2015.
Math Subject Classifications: 30D35, 34A20.
Key Words: Schwarzian difference equation; rational solution; value distribution.
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| Shuang-Ting Lan |
Department of Mathematics
Guangzhou Civil Aviation College
Guangzhou 510403, China
| Zong-Xuan Chen |
School of Mathematical Sciences
South China Normal University
Guangzhou 510631, China
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