A First Order $q$-Difference System for the $BC_1$-Type Jackson Integral and Its Applications
| dc.creator | Ito, Masahiko | |
| dc.date | 2009-04-03 | |
| dc.date.accessioned | 2026-07-07T13:00:16Z | |
| dc.date.available | 2026-07-07T13:00:16Z | |
| dc.description | We present an explicit expression for the $q$-difference system, which the $BC_1$-type Jackson integral ($q$-series) satisfies, as first order simultaneous $q$-difference equations with a concrete basis. As an application, we give a simple proof for the hypergeometric summation formula introduced by Gustafson and the product formula of the $q$-integral introduced by Nassrallah-Rahman and Gustafson. | |
| dc.identifier | https://arxiv.org/abs/0904.0561 | |
| dc.identifier | http://arxiv.org/abs/0904.0561 | |
| dc.identifier | SIGMA 5 (2009), 041, 14 pages | |
| dc.identifier | doi:10.3842/SIGMA.2009.041 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/225799 | |
| dc.subject | Classical Analysis and ODEs | |
| dc.title | A First Order $q$-Difference System for the $BC_1$-Type Jackson Integral and Its Applications | |
| dc.type | text |