标题： 射影约化离散Painlevé系统类型$(A_2+A_1)^{(1)}$ 显示英文标题

标题： Projective reduction of the discrete Painlevé system of type $(A_2+A_1)^{(1)}$

摘要： 我们考虑从类型$(A_2 + A_1)^{(1)}$的仿射 Weyl 群的有理表示中出现的 q-Painlevé III 方程。 我们从仿射 Weyl 群对称性的观点出发，研究 q-Painlevé III 方程到 q-Painlevé II 方程的约化。 特别是，通过差分算子的分解和$\tau$函数，澄清了这两个方程的超几何解之间的明显不一致机制。 显示英文摘要

摘要： We consider the q-Painlev\'e III equation arising from the birational representation of the affine Weyl group of type $(A_2 + A_1)^{(1)}$. We study the reduction of the q-Painlev\'e III equation to the q-Painlev\'e II equation from the viewpoint of affine Weyl group symmetry. In particular, the mechanism of apparent inconsistency between the hypergeometric solutions to both equations is clarified by using factorization of difference operators and the $\tau$ functions.