A <i>q</i>-Analogue of the Higher Order Painlevé Type Equations with the Affine Weyl Group Symmetry of Type <i>D</i>
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We present a <i>q</i>-difference analogue of the higher order differential equations of Painlevé type whose symmetry can be described by the affine Weyl group of type <i>D</i>, so-called the Sasano system. It is derived from the birational realization of Weyl groups as a group of pseudo isomorphisms of certain algebraic varieties. The continuous limit is also investigated.
- Funkcialaj Ekvacioj
Funkcialaj Ekvacioj 58(3), 405-430, 2015
Division of Functional Equations, The Mathematical Society of Japan