On a class of algebraic solutions to Painlevé VI equation, its determinant formula and coalescence cascade
| dc.creator | Masuda, Tetsu | |
| dc.date | 2002-02-21 | |
| dc.date.accessioned | 2026-07-07T05:33:56Z | |
| dc.date.available | 2026-07-07T05:33:56Z | |
| dc.description | A determinant formula for a class of algebraic solutions to Painlevé VI equation (P$_{\rm VI}$) is presented. This expression is regarded as a special case of the universal characters. The entries of the determinant are given by the Jacobi polynomials. Degeneration to the rational solutions of P$_{\rm V}$ and P$_{\rm III}$ is discussed by applying the coalescence procedure. Relationship between Umemura polynomials associated with P$_{\rm VI}$ and our formula is also discussed. | |
| dc.description | 35 pages | |
| dc.identifier | https://arxiv.org/abs/nlin/0202044 | |
| dc.identifier | http://arxiv.org/abs/nlin/0202044 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/80176 | |
| dc.subject | Exactly Solvable and Integrable Systems | |
| dc.title | On a class of algebraic solutions to Painlevé VI equation, its determinant formula and coalescence cascade | |
| dc.type | text |