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| Main Authors: | , |
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| Format: | Preprint |
| Published: |
2018
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| Subjects: | |
| Online Access: | https://arxiv.org/abs/1804.11171 |
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| _version_ | 1866913331493732352 |
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| author | Halouani, Borhen Bouzeffour, Fethi |
| author_facet | Halouani, Borhen Bouzeffour, Fethi |
| contents | In this study, we present a novel family of Meixner-type $d$-orthogonal polynomials, which are distinguished as a particular subset of multiple orthogonal polynomials. We demonstrate their connection to the Lie algebra $\mathfrak{su}(1,1)$ by identifying them as matrix elements of an appropriately defined nonlinear operator. Utilizing Barut-Girardello coherent states, we explicitly outline their key features, including recurrence relations, generating functions, and $d$-orthogonality relations, among others. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_1804_11171 |
| institution | arXiv |
| publishDate | 2018 |
| record_format | arxiv |
| spellingShingle | Meixner $d$-Orthogonal Polynomials Arising from $\mathfrak{su}(1,1)$ Halouani, Borhen Bouzeffour, Fethi Classical Analysis and ODEs In this study, we present a novel family of Meixner-type $d$-orthogonal polynomials, which are distinguished as a particular subset of multiple orthogonal polynomials. We demonstrate their connection to the Lie algebra $\mathfrak{su}(1,1)$ by identifying them as matrix elements of an appropriately defined nonlinear operator. Utilizing Barut-Girardello coherent states, we explicitly outline their key features, including recurrence relations, generating functions, and $d$-orthogonality relations, among others. |
| title | Meixner $d$-Orthogonal Polynomials Arising from $\mathfrak{su}(1,1)$ |
| topic | Classical Analysis and ODEs |
| url | https://arxiv.org/abs/1804.11171 |