Degenerations of Ruijsenaars-van Diejen operator and q-Painleve equations
Degenerations of Ruijsenaars-van Diejen operator and q-Painleve equations
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DOI：
10.1093/integr/xyx008
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发表时间：
2016-08
期刊：
影响因子：
--
通讯作者：
K. Takemura
中科院分区：
文献类型：
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作者：
K. Takemura
众所周知，Painleve VI是通过一些线性微分方程的保连接变形得到的，Heun方程是通过线性微分方程的特化得到的。我们研究了 Ruijsenaars-van Diejen 差分算子的退化，并展示了 Painleve-Heun 对应的差分类似物。
It is known that the Painleve VI is obtained by connection preserving deformation of some linear differential equations, and the Heun equation is obtained by a specialization of the linear differential equations. We inverstigate degenerations of the Ruijsenaars-van Diejen difference opearators and show difference analogues of the Painleve-Heun correspondence.