Hong Yan Xu, Jin Tu
This article studies properties of meromorphic solutions for several types of q-difference Painleve equations. We obtain conditions for the existence, and the form of rational solutions for two classes of q-difference Painleve equations. Also for a solution f we obtain results about the fixed points, the exponents of convergence of poles of . Our results extend previous theorems given in the references.
Submitted January 13, 2019. Published February 5, 2020.
Math Subject Classifications: 39A13, 30D35.
Key Words: Rational solution; q-difference Painleve equation; fixed point.
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| Hong Yan Xu |
School of Mathematics and Computer Science
Shangrao Normal University
Shangrao Jiangxi 334001, China
| Jin Tu |
Department of Mathematics
Jiangxi Normal University
Nanchan, Jiangxi 330022, China
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