Type II Multi-indexed Little $q$-Jacobi and Little $q$-Laguerre Polynomials
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arXiv
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| Format: | Preprint |
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2024
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| _version_ | 1866910788681203712 |
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| author | Odake, Satoru |
| author_facet | Odake, Satoru |
| contents | For the isospectral Darboux transformations of the discrete quantum mechanics with real shifts, there are two methods: type I and type II constructions. Based on the type I construction, the type I multi-indexed little $q$-Jacobi and little $q$-Laguerre orthogonal polynomials were presented in J. Phys. {\bf A50} (2017) 165204. Based on the type II construction, we present the type II multi-indexed little $q$-Jacobi and little $q$-Laguerre orthogonal polynomials. |
| format | Preprint |
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arxiv_https___arxiv_org_abs_2402_17272 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Type II Multi-indexed Little $q$-Jacobi and Little $q$-Laguerre Polynomials Odake, Satoru Mathematical Physics High Energy Physics - Theory Classical Analysis and ODEs Exactly Solvable and Integrable Systems For the isospectral Darboux transformations of the discrete quantum mechanics with real shifts, there are two methods: type I and type II constructions. Based on the type I construction, the type I multi-indexed little $q$-Jacobi and little $q$-Laguerre orthogonal polynomials were presented in J. Phys. {\bf A50} (2017) 165204. Based on the type II construction, we present the type II multi-indexed little $q$-Jacobi and little $q$-Laguerre orthogonal polynomials. |
| title | Type II Multi-indexed Little $q$-Jacobi and Little $q$-Laguerre Polynomials |
| topic | Mathematical Physics High Energy Physics - Theory Classical Analysis and ODEs Exactly Solvable and Integrable Systems |
| url | https://arxiv.org/abs/2402.17272 |