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Existence of rational solutions for q-difference Painleve equations
oleh: Hong Yan Xu, Jin Tu
| Format: | Article |
|---|---|
| Diterbitkan: | Texas State University 2020-02-01 |
Deskripsi
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 $f,\Delta_q f,(\Delta_qf)/f$. Our results extend previous theorems given in the references.