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| Main Authors: | , |
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| Format: | Preprint |
| Published: |
2007
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| Subjects: | |
| Online Access: | https://arxiv.org/abs/math-ph/0703090 |
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| _version_ | 1866910804906868736 |
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| author | Hallnäs, Martin Langmann, Edwin |
| author_facet | Hallnäs, Martin Langmann, Edwin |
| contents | In this paper we consider a large class of many-variable polynomials which contains generalisations of the classical Hermite, Laguerre, Jacobi and Bessel polynomials as special cases, and which occur as the polynomial part in the eigenfunctions of Calogero-Sutherland type operators and their deformations recently found and studied by Chalykh, Feigin, Sergeev, and Veselov. We present a unified and explicit construction of all these polynomials. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_math_ph_0703090 |
| institution | arXiv |
| publishDate | 2007 |
| record_format | arxiv |
| spellingShingle | A unified construction of generalised classical polynomials associated with operators of Calogero-Sutherland type Hallnäs, Martin Langmann, Edwin Mathematical Physics 33C70 (Primary), 81U15 (Secondary) In this paper we consider a large class of many-variable polynomials which contains generalisations of the classical Hermite, Laguerre, Jacobi and Bessel polynomials as special cases, and which occur as the polynomial part in the eigenfunctions of Calogero-Sutherland type operators and their deformations recently found and studied by Chalykh, Feigin, Sergeev, and Veselov. We present a unified and explicit construction of all these polynomials. |
| title | A unified construction of generalised classical polynomials associated with operators of Calogero-Sutherland type |
| topic | Mathematical Physics 33C70 (Primary), 81U15 (Secondary) |
| url | https://arxiv.org/abs/math-ph/0703090 |