q-Heun equation and initial-value space of q-Painleve equation
q-Heun equation and initial-value space of q-Painleve equation
复制标题
q-Heun 方程和 q-Painleve 方程的初值空间
DOI：
10.1090/conm/782/15725
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发表时间：
2023
期刊：
影响因子：
--
通讯作者：
Takemura Kouichi
中科院分区：
文献类型：
--
作者：
Sasaki Shoko;Takagi Shun;Takemura Kouichi
通过考虑其初值空间的爆破，我们证明了q-Heun方程及其变体出现在与某些q- painlevel方程相关的线性q-差分方程中。从与E8型q- painlevel方程相关的线性q差分方程得到了第一个退化的Ruijsenaars-van Diejen算子。
We show that the q-Heun equation and its variants appear in the linear q-difference equations associated to some q-Painlevé equations by considering the blow-up associated to their initial-value spaces. We obtain the firstly degenerated Ruijsenaars-van Diejen operator from the linear q-difference equation associated to the q-Painlevé equation of type E8.