Raising and Lowering Operators for Askey-Wilson Polynomials
In this paper we describe two pairs of raising/lowering operators for Askey-Wilson polynomials, which result from constructions involving very different techniques. The first technique is quite elementary, and depends only on the ''classical'' properties of these polynomials, viz...
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| Дата: | 2007 |
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| Автор: | |
| Формат: | Стаття |
| Мова: | English |
| Опубліковано: |
Інститут математики НАН України
2007
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| Назва видання: | Symmetry, Integrability and Geometry: Methods and Applications |
| Онлайн доступ: | http://dspace.nbuv.gov.ua/handle/123456789/147833 |
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| Назва журналу: | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| Цитувати: | Raising and Lowering Operators for Askey-Wilson Polynomials / S. Sahi // Symmetry, Integrability and Geometry: Methods and Applications. — 2007. — Т. 3. — Бібліогр.: 25 назв. — англ. |
Репозитарії
Digital Library of Periodicals of National Academy of Sciences of Ukraine| id |
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irk-123456789-1478332019-02-17T01:23:29Z Raising and Lowering Operators for Askey-Wilson Polynomials Sahi, S. In this paper we describe two pairs of raising/lowering operators for Askey-Wilson polynomials, which result from constructions involving very different techniques. The first technique is quite elementary, and depends only on the ''classical'' properties of these polynomials, viz. the q-difference equation and the three term recurrence. The second technique is less elementary, and involves the one-variable version of the double affine Hecke algebra. 2007 Article Raising and Lowering Operators for Askey-Wilson Polynomials / S. Sahi // Symmetry, Integrability and Geometry: Methods and Applications. — 2007. — Т. 3. — Бібліогр.: 25 назв. — англ. 1815-0659 2000 Mathematics Subject Classification: 33D45; 33D52; 33D80 http://dspace.nbuv.gov.ua/handle/123456789/147833 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 this paper we describe two pairs of raising/lowering operators for Askey-Wilson polynomials, which result from constructions involving very different techniques. The first technique is quite elementary, and depends only on the ''classical'' properties of these polynomials, viz. the q-difference equation and the three term recurrence. The second technique is less elementary, and involves the one-variable version of the double affine Hecke algebra. |
| format |
Article |
| author |
Sahi, S. |
| spellingShingle |
Sahi, S. Raising and Lowering Operators for Askey-Wilson Polynomials Symmetry, Integrability and Geometry: Methods and Applications |
| author_facet |
Sahi, S. |
| author_sort |
Sahi, S. |
| title |
Raising and Lowering Operators for Askey-Wilson Polynomials |
| title_short |
Raising and Lowering Operators for Askey-Wilson Polynomials |
| title_full |
Raising and Lowering Operators for Askey-Wilson Polynomials |
| title_fullStr |
Raising and Lowering Operators for Askey-Wilson Polynomials |
| title_full_unstemmed |
Raising and Lowering Operators for Askey-Wilson Polynomials |
| title_sort |
raising and lowering operators for askey-wilson polynomials |
| publisher |
Інститут математики НАН України |
| publishDate |
2007 |
| url |
http://dspace.nbuv.gov.ua/handle/123456789/147833 |
| citation_txt |
Raising and Lowering Operators for Askey-Wilson Polynomials / S. Sahi // Symmetry, Integrability and Geometry: Methods and Applications. — 2007. — Т. 3. — Бібліогр.: 25 назв. — англ. |
| series |
Symmetry, Integrability and Geometry: Methods and Applications |
| work_keys_str_mv |
AT sahis raisingandloweringoperatorsforaskeywilsonpolynomials |
| first_indexed |
2023-05-20T17:28:37Z |
| last_indexed |
2023-05-20T17:28:37Z |
| _version_ |
1796153390579843072 |