We study the discrete Painlevé equations associated to the affine Weyl group which can be obtained by the implementation of a special limits of -associated equations. This study is motivated by the existence of two -associated discrete both having a double ternary dependence in their coefficients and which have not been related before. We show here that two equations correspond to two different limits of a -associated discrete Painlevé equation. Applying the same limiting procedures to other -associated equations we obtained several -related equations most of which have not been previously derived.

中文翻译：

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通过限制程序的离散 Painlevé 方程的相互关系

我们研究了与仿射 Weyl 群相关的离散 Painlevé 方程，该方程可以通过实现相关方程的特殊极限来获得。这项研究的动机是存在两个相关的离散，它们的系数都具有双三元依赖性，并且以前没有关联。我们在这里展示了两个方程对应于关联离散 Painlevé 方程的两个不同极限。将相同的限制程序应用于其他相关方程，我们获得了几个相关方程，其中大部分是以前没有推导出来的。