Series Solutions of the Non-Stationary Heun Equation

• Published in: Symmetry, Integrability and Geometry: Methods and Applications
• Date: 2018
• Main Authors: Atai, F., Langmann, E.
• Format: Article
• Language: English
• Published: Інститут математики НАН України 2018
• Online Access: https://nasplib.isofts.kiev.ua/handle/123456789/209453
• Journal Title: Digital Library of Periodicals of National Academy of Sciences of Ukraine
• Cite this: Series Solutions of the Non-Stationary Heun Equation / F. Atai, E. Langmann // Symmetry, Integrability and Geometry: Methods and Applications. — 2018. — Т. 14. — Бібліогр.: 41 назв. — англ.

We consider the non-stationary Heun equation, also known as quantum Painlevé VI, which has appeared in different works on quantum integrable models and conformal field theory. We use a generalized kernel function identity to transform the problem to solve this equation into a differential-difference...