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arXiv · 1903.02415

Heun's differential equation and its q-deformation

Kouichi Takemura
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Abstract

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.

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Kouichi Takemura. 2019-03-06. Heun's differential equation and its q-deformation. https://doi.org/10.1063/1.5125085

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