Combinatorial Expressions for the Tau Functions of q-Painlevé V and III Equations

• Published in: Symmetry, Integrability and Geometry: Methods and Applications
• Date: 2019
• Main Authors: Matsuhira, Y., Nagoya, H.
• Format: Article
• Language: English
• Published: Інститут математики НАН України 2019
• Online Access: https://nasplib.isofts.kiev.ua/handle/123456789/210221
• Journal Title: Digital Library of Periodicals of National Academy of Sciences of Ukraine
• Cite this: Combinatorial Expressions for the Tau Functions of q-Painlevé V and III Equations / Y. Matsuhira, H. Nagoya // Symmetry, Integrability and Geometry: Methods and Applications. — 2019. — Т. 15. — Бібліогр.: 28 назв. — англ.

We derive series representations for the tau functions of the q-Painlevé V, III₁, III₂, and III₃ equations, as degenerations of the tau functions of the q-Painlevé VI equation in [Jimbo M., Nagoya H., Sakai H., J. Integrable Syst. 2 (2017), xyx009, 27 pages]. Our tau functions are expressed in terms...