Hypergeometric $τ$-Functions of the $q$-Painlevé System of Type $E_7^{(1)}$
| dc.creator | Masuda, Tetsu | |
| dc.date | 2009-03-24 | |
| dc.date.accessioned | 2026-07-07T12:56:07Z | |
| dc.date.available | 2026-07-07T12:56:07Z | |
| dc.description | We present the $τ$-functions for the hypergeometric solutions to the $q$-Painlevé system of type $E_7^{(1)}$ in a determinant formula whose entries are given by the basic hypergeometric function ${}_8W_7$. By using the $W(D_5)$ symmetry of the function ${}_8W_7$, we construct a set of twelve solutions and describe the action of $\widetilde{W}(D_6^{(1)})$ on the set. | |
| dc.identifier | https://arxiv.org/abs/0903.4102 | |
| dc.identifier | http://arxiv.org/abs/0903.4102 | |
| dc.identifier | SIGMA 5 (2009), 035, 30 pages | |
| dc.identifier | doi:10.3842/SIGMA.2009.035 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/224478 | |
| dc.subject | Exactly Solvable and Integrable Systems | |
| dc.subject | Classical Analysis and ODEs | |
| dc.title | Hypergeometric $τ$-Functions of the $q$-Painlevé System of Type $E_7^{(1)}$ | |
| dc.type | text |