The Rahman Polynomials Are Bispectral
| dc.creator | Grünbaum, F. Alberto | |
| dc.date | 2007-05-03 | |
| dc.date.accessioned | 2026-07-07T09:34:06Z | |
| dc.date.available | 2026-07-07T09:34:06Z | |
| dc.description | In a very recent paper, M. Rahman introduced a remarkable family of polynomials in two variables as the eigenfunctions of the transition matrix for a nontrivial Markov chain due to M. Hoare and M. Rahman. I indicate here that these polynomials are bispectral. This should be just one of the many remarkable properties enjoyed by these polynomials. For several challenges, including finding a general proof of some of the facts displayed here the reader should look at the last section of this paper. | |
| dc.description | This is a contribution to the Vadim Kuznetsov Memorial Issue on Integrable Systems and Related Topics, published in SIGMA (Symmetry, Integrability and Geometry: Methods and Applications) at http://www.emis.de/journals/SIGMA/ | |
| dc.identifier | https://arxiv.org/abs/0705.0468 | |
| dc.identifier | http://arxiv.org/abs/0705.0468 | |
| dc.identifier | SIGMA 3 (2007), 065, 11 pages | |
| dc.identifier | doi:10.3842/SIGMA.2007.065 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/159369 | |
| dc.subject | Classical Analysis and ODEs | |
| dc.subject | Mathematical Physics | |
| dc.title | The Rahman Polynomials Are Bispectral | |
| dc.type | text |