Group Analysis of Differential Equations and Integrable Systems − 2018
Kouichi Takemura
(Chuo University, Tokyo, Japan)
On $q$deformations of the Heun equation
Abstract:
The $q$Heun equation and its variants arise as degenerations of
Ruijsenaarsvan Diejen operators with one particle.
We investigate local properties of these equations.
In particular we characterize the variants of the $q$Heun equation by
using analysis of regular singularities.
We also consider the quasiexact solvability of the $q$Heun equation and
its variants.
Namely we investigate finitedimensional subspaces which are invariant
under the action of the $q$Heun operator or variants of the $q$Heun
operator.
This is based on arXiv:1712.09564[math.CA].
