Representations of the Quantum Algebra suq(1,1) and Discrete q-Ultraspherical Polynomials
We derive orthogonality relations for discrete q-ultraspherical polynomials and their duals by means of operators of representations of the quantum algebra suq(1,1). Spectra and eigenfunctions of these operators are found explicitly. These eigenfunctions, when normalized, form an orthonormal basis i...
Saved in:
| Published in: | Symmetry, Integrability and Geometry: Methods and Applications |
|---|---|
| Date: | 2005 |
| Main Author: | |
| Format: | Article |
| Language: | English |
| Published: |
Інститут математики НАН України
2005
|
| Online Access: | https://nasplib.isofts.kiev.ua/handle/123456789/209344 |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
| Journal Title: | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| Cite this: | Representations of the Quantum Algebra suq(1,1) and Discrete q-Ultraspherical Polynomials / V. Groza // Symmetry, Integrability and Geometry: Methods and Applications. — 2005. — Т. 1. — Бібліогр.: 7 назв. — англ. |
Institution
Digital Library of Periodicals of National Academy of Sciences of Ukraine| _version_ | 1862658695285964800 |
|---|---|
| author | Groza, V. |
| author_facet | Groza, V. |
| citation_txt | Representations of the Quantum Algebra suq(1,1) and Discrete q-Ultraspherical Polynomials / V. Groza // Symmetry, Integrability and Geometry: Methods and Applications. — 2005. — Т. 1. — Бібліогр.: 7 назв. — англ. |
| collection | DSpace DC |
| container_title | Symmetry, Integrability and Geometry: Methods and Applications |
| description | We derive orthogonality relations for discrete q-ultraspherical polynomials and their duals by means of operators of representations of the quantum algebra suq(1,1). Spectra and eigenfunctions of these operators are found explicitly. These eigenfunctions, when normalized, form an orthonormal basis in the representation space.
|
| first_indexed | 2025-12-02T08:51:46Z |
| format | Article |
| fulltext | |
| id | nasplib_isofts_kiev_ua-123456789-209344 |
| institution | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| issn | 1815-0659 |
| language | English |
| last_indexed | 2025-12-02T08:51:46Z |
| publishDate | 2005 |
| publisher | Інститут математики НАН України |
| record_format | dspace |
| spelling | Groza, V. 2025-11-19T12:24:47Z 2005 Representations of the Quantum Algebra suq(1,1) and Discrete q-Ultraspherical Polynomials / V. Groza // Symmetry, Integrability and Geometry: Methods and Applications. — 2005. — Т. 1. — Бібліогр.: 7 назв. — англ. 1815-0659 2000 Mathematics Subject Classification: 17B37; 33D45 https://nasplib.isofts.kiev.ua/handle/123456789/209344 https://doi.org/10.3842/SIGMA.2005.016 We derive orthogonality relations for discrete q-ultraspherical polynomials and their duals by means of operators of representations of the quantum algebra suq(1,1). Spectra and eigenfunctions of these operators are found explicitly. These eigenfunctions, when normalized, form an orthonormal basis in the representation space. en Інститут математики НАН України Symmetry, Integrability and Geometry: Methods and Applications Representations of the Quantum Algebra suq(1,1) and Discrete q-Ultraspherical Polynomials Article published earlier |
| spellingShingle | Representations of the Quantum Algebra suq(1,1) and Discrete q-Ultraspherical Polynomials Groza, V. |
| title | Representations of the Quantum Algebra suq(1,1) and Discrete q-Ultraspherical Polynomials |
| title_full | Representations of the Quantum Algebra suq(1,1) and Discrete q-Ultraspherical Polynomials |
| title_fullStr | Representations of the Quantum Algebra suq(1,1) and Discrete q-Ultraspherical Polynomials |
| title_full_unstemmed | Representations of the Quantum Algebra suq(1,1) and Discrete q-Ultraspherical Polynomials |
| title_short | Representations of the Quantum Algebra suq(1,1) and Discrete q-Ultraspherical Polynomials |
| title_sort | representations of the quantum algebra suq(1,1) and discrete q-ultraspherical polynomials |
| url | https://nasplib.isofts.kiev.ua/handle/123456789/209344 |
| work_keys_str_mv | AT grozav representationsofthequantumalgebrasuq11anddiscretequltrasphericalpolynomials |