On q-Deformations of the Heun Equation

• Published in: Symmetry, Integrability and Geometry: Methods and Applications
• Date: 2018
• Main Author: Takemura, K.
• Format: Article
• Language: English
• Published: Інститут математики НАН України 2018
• Online Access: https://nasplib.isofts.kiev.ua/handle/123456789/209789
• Journal Title: Digital Library of Periodicals of National Academy of Sciences of Ukraine
• Cite this: On q-Deformations of the Heun Equation / K. Takemura // Symmetry, Integrability and Geometry: Methods and Applications. — 2018. — Т. 14. — Бібліогр.: 12 назв. — англ.

The q-Heun equation and its variants arise as degenerations of Ruijsenaars-van 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 q...