Hypergeometric Solutions to the q-Painlevé Equation of Type $(A_1+A_1')^{(1)}$
| dc.creator | Hamamoto, Taro | |
| dc.creator | Kajiwara, Kenji | |
| dc.creator | Witte, Nicholas S. | |
| dc.date | 2006-07-28 | |
| dc.date.accessioned | 2026-07-07T07:22:28Z | |
| dc.date.available | 2026-07-07T07:22:28Z | |
| dc.description | A class of classical solutions to the $q$-Painlevé equation of type $(A_1+A_1')^{(1)}$ (a $q$-difference analog of the Painlevé II equation) is constructed in a determinantal form with basic hypergeometric function elements. The continuous limit of this $q$-Painlevé equation to the Painlevé II equation and its hypergeometric solutions are discussed. The continuous limit of these hypergeometric solutions to the Airy function is obtained through a uniform asymptotic expansion of their integral representation. | |
| dc.description | 17 pages | |
| dc.identifier | https://arxiv.org/abs/nlin/0607065 | |
| dc.identifier | http://arxiv.org/abs/nlin/0607065 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/115669 | |
| dc.subject | Exactly Solvable and Integrable Systems | |
| dc.subject | Classical Analysis and ODEs | |
| dc.title | Hypergeometric Solutions to the q-Painlevé Equation of Type $(A_1+A_1')^{(1)}$ | |
| dc.type | text |