Heun's differential equation and its q-deformation
Abstract
The q-Heun equation is a q-difference analogue of Heun's differential equation. We review some solutions of Heun's differential equation and investigate polynomial-type solutions of q-Heun equation. The limit q → 1 to Heun's differential equation and the ultradiscrete limit q → 0 are considered.
- Publication:
-
Modern Treatment of Symmetries, Differential Equations and Applications (Symmetry 2019)
- Pub Date:
- September 2019
- DOI:
- arXiv:
- arXiv:1903.02415
- Bibcode:
- 2019AIPC.2153b0020T
- Keywords:
-
- Mathematics - Classical Analysis and ODEs;
- Mathematical Physics;
- 39A13;
- 33E10;
- 30C15
- E-Print:
- 6 pages