On Solutions of the Fuji-Suzuki-Tsuda System

• Published in: Symmetry, Integrability and Geometry: Methods and Applications
• Date: 2018
• ISSN: 1815-0659
• Main Authors: Gavrylenko, P., Iorgov, N., Lisovyy, O.
• Format: Article
• Language: English
• Published: Інститут математики НАН України 2018
• Online Access: https://nasplib.isofts.kiev.ua/handle/123456789/209881
• Journal Title: Digital Library of Periodicals of National Academy of Sciences of Ukraine
• Cite this: On Solutions of the Fuji-Suzuki-Tsuda System / P. Gavrylenko, N. Iorgov, O. Lisovyy // Symmetry, Integrability and Geometry: Methods and Applications. — 2018. — Т. 14. — Бібліогр.: 33 назв. — англ.

We derive the Fredholm determinant and series representation of the tau function of the Fuji-Suzuki-Tsuda system and its multivariate extension, thereby generalizing to higher rank the results obtained for Painlevé VI and the Garnier system. A special case of our construction gives a higher rank ana...