Three $q$-Painlevé equations with affine Weyl group symmetry of type $E_7^{(1)}$

Hidehito Nagao, Yasuhiko Yamada

Three $q$-Painlevé type equations are derived through degenerations of the $q$-Painlevé equation with affine Weyl group symmetry of type $q$-$E_8^{(1)}$. The three $q$-Painlevé typ…