Toda and Laguerre-Freud equations for multiple discrete orthogonal polynomials with an arbitrary number of weights
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arXiv
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| Format: | Preprint |
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2024
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| author | Fernández-Irisarri, Itsaso Mañas, Manuel |
| author_facet | Fernández-Irisarri, Itsaso Mañas, Manuel |
| contents | In this paper, we extend our investigation into semiclassical multiple discrete orthogonal polynomials by considering an arbitrary number of weights. We derive multiple versions of the Toda equations and the Laguerre-Freud equations for the multiple generalized Charlier and multiple generalized Meixner II families. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2407_00777 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Toda and Laguerre-Freud equations for multiple discrete orthogonal polynomials with an arbitrary number of weights Fernández-Irisarri, Itsaso Mañas, Manuel Classical Analysis and ODEs Mathematical Physics Exactly Solvable and Integrable Systems 42C05, 33C45, 33C47, 35C05, 37K10 In this paper, we extend our investigation into semiclassical multiple discrete orthogonal polynomials by considering an arbitrary number of weights. We derive multiple versions of the Toda equations and the Laguerre-Freud equations for the multiple generalized Charlier and multiple generalized Meixner II families. |
| title | Toda and Laguerre-Freud equations for multiple discrete orthogonal polynomials with an arbitrary number of weights |
| topic | Classical Analysis and ODEs Mathematical Physics Exactly Solvable and Integrable Systems 42C05, 33C45, 33C47, 35C05, 37K10 |
| url | https://arxiv.org/abs/2407.00777 |