Properties of Schwarzian difference equations

We consider the Schwarzian type difference equation $$ \Big[\frac{\Delta^{3}f(z)}{\Delta f(z)}-\frac{3}{2} \Big(\frac{\Delta^{2}f(z)}{\Delta f(z)}\Big)^{2}\Big]^{k}=R(z), $$ where R(z) is a nonconstant rational function. We study the existence of rational solutions and value distribution of tr...

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Bibliographic Details
Main Authors: Shuang-Ting Lan, Zong-Xuan Chen
Format: Article
Language:English
Published: Texas State University 2015-08-01
Series:Electronic Journal of Differential Equations
Subjects:
Online Access:http://ejde.math.txstate.edu/Volumes/2015/199/abstr.html