On the Limit from q-Racah Polynomials to Big q-Jacobi Polynomials
A limit formula from q-Racah polynomials to big q-Jacobi polynomials is given which can be considered as a limit formula for orthogonal polynomials. This is extended to a multi-parameter limit with 3 parameters, also involving (q-)Hahn polynomials, little q-Jacobi polynomials and Jacobi polynomials....
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| Published in: | Symmetry, Integrability and Geometry: Methods and Applications |
|---|---|
| Date: | 2011 |
| Main Author: | |
| Format: | Article |
| Language: | English |
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Інститут математики НАН України
2011
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| Online Access: | https://nasplib.isofts.kiev.ua/handle/123456789/146857 |
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| Journal Title: | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| Cite this: | On the Limit from q-Racah Polynomials to Big q-Jacobi Polynomials / T.H. Koornwinder // Symmetry, Integrability and Geometry: Methods and Applications. — 2011. — Т. 7. — Бібліогр.: 6 назв. — англ. |
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Digital Library of Periodicals of National Academy of Sciences of Ukraine| _version_ | 1862720123411890176 |
|---|---|
| author | Koornwinder, T.H. |
| author_facet | Koornwinder, T.H. |
| citation_txt | On the Limit from q-Racah Polynomials to Big q-Jacobi Polynomials / T.H. Koornwinder // Symmetry, Integrability and Geometry: Methods and Applications. — 2011. — Т. 7. — Бібліогр.: 6 назв. — англ. |
| collection | DSpace DC |
| container_title | Symmetry, Integrability and Geometry: Methods and Applications |
| description | A limit formula from q-Racah polynomials to big q-Jacobi polynomials is given which can be considered as a limit formula for orthogonal polynomials. This is extended to a multi-parameter limit with 3 parameters, also involving (q-)Hahn polynomials, little q-Jacobi polynomials and Jacobi polynomials. Also the limits from Askey-Wilson to Wilson polynomials and from q-Racah to Racah polynomials are given in a more conceptual way.
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| first_indexed | 2025-12-07T18:23:46Z |
| format | Article |
| fulltext | |
| id | nasplib_isofts_kiev_ua-123456789-146857 |
| institution | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| issn | 1815-0659 |
| language | English |
| last_indexed | 2025-12-07T18:23:46Z |
| publishDate | 2011 |
| publisher | Інститут математики НАН України |
| record_format | dspace |
| spelling | Koornwinder, T.H. 2019-02-11T17:23:05Z 2019-02-11T17:23:05Z 2011 On the Limit from q-Racah Polynomials to Big q-Jacobi Polynomials / T.H. Koornwinder // Symmetry, Integrability and Geometry: Methods and Applications. — 2011. — Т. 7. — Бібліогр.: 6 назв. — англ. 1815-0659 2010 Mathematics Subject Classification: 33D45; 33C45 DOI:10.3842/SIGMA.2011.040 https://nasplib.isofts.kiev.ua/handle/123456789/146857 A limit formula from q-Racah polynomials to big q-Jacobi polynomials is given which can be considered as a limit formula for orthogonal polynomials. This is extended to a multi-parameter limit with 3 parameters, also involving (q-)Hahn polynomials, little q-Jacobi polynomials and Jacobi polynomials. Also the limits from Askey-Wilson to Wilson polynomials and from q-Racah to Racah polynomials are given in a more conceptual way. This paper is a contribution to the Special Issue “Symmetry, Separation, Super-integrability and Special Functions (S⁴)”. The full collection is available at http://www.emis.de/journals/SIGMA/S4.html. en Інститут математики НАН України Symmetry, Integrability and Geometry: Methods and Applications On the Limit from q-Racah Polynomials to Big q-Jacobi Polynomials Article published earlier |
| spellingShingle | On the Limit from q-Racah Polynomials to Big q-Jacobi Polynomials Koornwinder, T.H. |
| title | On the Limit from q-Racah Polynomials to Big q-Jacobi Polynomials |
| title_full | On the Limit from q-Racah Polynomials to Big q-Jacobi Polynomials |
| title_fullStr | On the Limit from q-Racah Polynomials to Big q-Jacobi Polynomials |
| title_full_unstemmed | On the Limit from q-Racah Polynomials to Big q-Jacobi Polynomials |
| title_short | On the Limit from q-Racah Polynomials to Big q-Jacobi Polynomials |
| title_sort | on the limit from q-racah polynomials to big q-jacobi polynomials |
| url | https://nasplib.isofts.kiev.ua/handle/123456789/146857 |
| work_keys_str_mv | AT koornwinderth onthelimitfromqracahpolynomialstobigqjacobipolynomials |