Riccati Solutions of Discrete Painlevé Equations with Weyl Group Symmetry of Type $E_8^{(1)}$

Mikio Murata, Hidetaka Sakai, Jin Yoneda

We present a special solutions of the discrete Painlevé equations associated with $A_0^{(1)}$, $A_0^{(1)\ast }$ and $A_0^{(1)\ast \ast }$-surface. These solutions can be expressed by solutions…