English

Heun's differential equation and its q-deformation

Classical Analysis and ODEs 2019-10-02 v1 Mathematical Physics math.MP

Abstract

The qq-Heun equation is a qq-difference analogue of Heun's differential equation. We review several solutions of Heun's differential equation and investigate polynomial-type solutions of qq-Heun equation. The limit q1q\to 1 corresponding to Heun's differential equation and the ultradiscrete limit q0q\to 0 are considered.

Cite

@article{arxiv.1903.02415,
  title  = {Heun's differential equation and its q-deformation},
  author = {Kouichi Takemura},
  journal= {arXiv preprint arXiv:1903.02415},
  year   = {2019}
}

Comments

6 pages

R2 v1 2026-06-23T07:59:56.842Z