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Biorthogonal Expansion of Non-Symmetric Jack Functions
We find a biorthogonal expansion of the Cayley transform of the non-symmetric Jack functions in terms of the non-symmetric Jack polynomials, the coefficients being Meixner-Pollaczek type polynomials. This is done by computing the Cherednik-Opdam transform of the non-symmetric Jack polynomials multip...
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Інститут математики НАН України
2007
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| Series: | Symmetry, Integrability and Geometry: Methods and Applications |
| Online Access: | http://dspace.nbuv.gov.ua/handle/123456789/147194 |
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irk-123456789-1471942019-02-14T01:26:58Z Biorthogonal Expansion of Non-Symmetric Jack Functions Sahi, S. Zhang, G. We find a biorthogonal expansion of the Cayley transform of the non-symmetric Jack functions in terms of the non-symmetric Jack polynomials, the coefficients being Meixner-Pollaczek type polynomials. This is done by computing the Cherednik-Opdam transform of the non-symmetric Jack polynomials multiplied by the exponential function. 2007 Article Biorthogonal Expansion of Non-Symmetric Jack Functions / S. Sahi, G. Zhang // Symmetry, Integrability and Geometry: Methods and Applications. — 2007. — Т. 3. — Бібліогр.: 15 назв. — англ. 1815-0659 2000 Mathematics Subject Classification: 33C52; 33C67; 43A90 http://dspace.nbuv.gov.ua/handle/123456789/147194 en Symmetry, Integrability and Geometry: Methods and Applications Інститут математики НАН України |
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Digital Library of Periodicals of National Academy of Sciences of Ukraine |
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| language |
English |
| description |
We find a biorthogonal expansion of the Cayley transform of the non-symmetric Jack functions in terms of the non-symmetric Jack polynomials, the coefficients being Meixner-Pollaczek type polynomials. This is done by computing the Cherednik-Opdam transform of the non-symmetric Jack polynomials multiplied by the exponential function. |
| format |
Article |
| author |
Sahi, S. Zhang, G. |
| spellingShingle |
Sahi, S. Zhang, G. Biorthogonal Expansion of Non-Symmetric Jack Functions Symmetry, Integrability and Geometry: Methods and Applications |
| author_facet |
Sahi, S. Zhang, G. |
| author_sort |
Sahi, S. |
| title |
Biorthogonal Expansion of Non-Symmetric Jack Functions |
| title_short |
Biorthogonal Expansion of Non-Symmetric Jack Functions |
| title_full |
Biorthogonal Expansion of Non-Symmetric Jack Functions |
| title_fullStr |
Biorthogonal Expansion of Non-Symmetric Jack Functions |
| title_full_unstemmed |
Biorthogonal Expansion of Non-Symmetric Jack Functions |
| title_sort |
biorthogonal expansion of non-symmetric jack functions |
| publisher |
Інститут математики НАН України |
| publishDate |
2007 |
| url |
http://dspace.nbuv.gov.ua/handle/123456789/147194 |
| citation_txt |
Biorthogonal Expansion of Non-Symmetric Jack Functions / S. Sahi, G. Zhang // Symmetry, Integrability and Geometry: Methods and Applications. — 2007. — Т. 3. — Бібліогр.: 15 назв. — англ. |
| series |
Symmetry, Integrability and Geometry: Methods and Applications |
| work_keys_str_mv |
AT sahis biorthogonalexpansionofnonsymmetricjackfunctions AT zhangg biorthogonalexpansionofnonsymmetricjackfunctions |
| first_indexed |
2023-05-20T17:26:56Z |
| last_indexed |
2023-05-20T17:26:56Z |
| _version_ |
1796153318097027072 |