The hunting for the discrete Painlevé VI is over
| dc.creator | Grammaticos, B. | |
| dc.creator | Ramani, A. | |
| dc.date | 1999-01-19 | |
| dc.date.accessioned | 2026-07-07T06:17:44Z | |
| dc.date.available | 2026-07-07T06:17:44Z | |
| dc.description | We present the discrete, q-, form of the Painlevé VI equation written as a three-point mapping and analyse the structure of its singularities. This discrete equation goes over to P_{VI} at the continuous limit and degenerates towards the discrete q-P_{V} through coalescence. It possesses special solutions in terms of the q-hypergeometric function. It can bilinearised and, under the appropriate assumptions, ultradiscretised. A new discrete form for P_{V} is also obtained which is of difference type, in contrast with the `standard' form of the discrete P_{V}. Finally, we present the `asymmetric' form of q-P_{VI}$ as a system of two first-order mappings involving seven arbitrary parameters. | |
| dc.description | 6 pages, Plain-TeX | |
| dc.identifier | https://arxiv.org/abs/solv-int/9901006 | |
| dc.identifier | http://arxiv.org/abs/solv-int/9901006 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/94489 | |
| dc.subject | Exactly Solvable and Integrable Systems | |
| dc.title | The hunting for the discrete Painlevé VI is over | |
| dc.type | text |