Heun’s differential equation and its q-deformation

Heun’s differential equation and its q-deformation
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DOI:
10.1063/1.5125085
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发表时间:
2019-03
期刊:
MODERN TREATMENT OF SYMMETRIES, DIFFERENTIAL EQUATIONS AND APPLICATIONS (Symmetry 2019)
影响因子:
--
通讯作者:
K. Takemura
K. Takemura
中科院分区:
其他
文献类型:
--
作者:
K. Takemura

文献摘要

相似文献

$Q$-Heun方程是Heun方程的$Q$-差分类比。我们回顾了Heun方程的几种解,并研究了$Q$-Heun方程的多项式解。考虑了Heun方程对应的极限Q0和超离散极限Q0。
The $q$-Heun equation is a $q$-difference analogue of Heun's differential equation. We review several solutions of Heun's differential equation and investigate polynomial-type solutions of $q$-Heun equation. The limit $q\to 1$ corresponding to Heun's differential equation and the ultradiscrete limit $q\to 0$ are considered.