The Rahman Polynomials Are Bispectral
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 rema...
Gespeichert in:
| Datum: | 2007 |
|---|---|
| 1. Verfasser: | |
| Format: | Artikel |
| Sprache: | English |
| Veröffentlicht: |
Інститут математики НАН України
2007
|
| Schriftenreihe: | Symmetry, Integrability and Geometry: Methods and Applications |
| Online Zugang: | http://dspace.nbuv.gov.ua/handle/123456789/147372 |
| Tags: |
Tag hinzufügen
Keine Tags, Fügen Sie den ersten Tag hinzu!
|
| Назва журналу: | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| Zitieren: | The Rahman Polynomials Are Bispectral / F.A. Grünbaum // Symmetry, Integrability and Geometry: Methods and Applications. — 2007. — Т. 3. — Бібліогр.: 34 назв. — англ. |
Institution
Digital Library of Periodicals of National Academy of Sciences of Ukraine| id |
irk-123456789-147372 |
|---|---|
| record_format |
dspace |
| fulltext |
|
| spelling |
irk-123456789-1473722019-02-15T01:24:37Z The Rahman Polynomials Are Bispectral Grünbaum, F.A. 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. 2007 Article The Rahman Polynomials Are Bispectral / F.A. Grünbaum // Symmetry, Integrability and Geometry: Methods and Applications. — 2007. — Т. 3. — Бібліогр.: 34 назв. — англ. 1815-0659 2000 Mathematics Subject Classification: 33C45; 22E45 http://dspace.nbuv.gov.ua/handle/123456789/147372 en Symmetry, Integrability and Geometry: Methods and Applications Інститут математики НАН України |
| institution |
Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| collection |
DSpace DC |
| language |
English |
| 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. |
| format |
Article |
| author |
Grünbaum, F.A. |
| spellingShingle |
Grünbaum, F.A. The Rahman Polynomials Are Bispectral Symmetry, Integrability and Geometry: Methods and Applications |
| author_facet |
Grünbaum, F.A. |
| author_sort |
Grünbaum, F.A. |
| title |
The Rahman Polynomials Are Bispectral |
| title_short |
The Rahman Polynomials Are Bispectral |
| title_full |
The Rahman Polynomials Are Bispectral |
| title_fullStr |
The Rahman Polynomials Are Bispectral |
| title_full_unstemmed |
The Rahman Polynomials Are Bispectral |
| title_sort |
rahman polynomials are bispectral |
| publisher |
Інститут математики НАН України |
| publishDate |
2007 |
| url |
http://dspace.nbuv.gov.ua/handle/123456789/147372 |
| citation_txt |
The Rahman Polynomials Are Bispectral / F.A. Grünbaum // Symmetry, Integrability and Geometry: Methods and Applications. — 2007. — Т. 3. — Бібліогр.: 34 назв. — англ. |
| series |
Symmetry, Integrability and Geometry: Methods and Applications |
| work_keys_str_mv |
AT grunbaumfa therahmanpolynomialsarebispectral AT grunbaumfa rahmanpolynomialsarebispectral |
| first_indexed |
2025-07-11T01:56:24Z |
| last_indexed |
2025-07-11T01:56:24Z |
| _version_ |
1837313820455862272 |