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| Main Authors: | , , , |
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| Format: | Preprint |
| Published: |
2024
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| Subjects: | |
| Online Access: | https://arxiv.org/abs/2411.18192 |
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| _version_ | 1866912985813876736 |
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| author | Filipuk, Galina Mañas-Mañas, Juan F. Moreno-Balcázar, Juan J. Rodríguez-Perales, Cristina |
| author_facet | Filipuk, Galina Mañas-Mañas, Juan F. Moreno-Balcázar, Juan J. Rodríguez-Perales, Cristina |
| contents | We tackle the regularisation of a differential system related to generalised Krawtchouk polynomials. We show a straightforward connection between certain auxiliary quantities involving the recurrence coefficients of these polynomials and Painlevé V equation via iterative regularisation. Furthermore, we explore how iterative regularisation yields polynomial systems and enables us to find decompositions of certain birational transformations. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2411_18192 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Differential system related to Krawtchouk polynomials: iterated regularisation and Painlevé equation Filipuk, Galina Mañas-Mañas, Juan F. Moreno-Balcázar, Juan J. Rodríguez-Perales, Cristina Classical Analysis and ODEs Mathematical Physics 34M55, 42C05 We tackle the regularisation of a differential system related to generalised Krawtchouk polynomials. We show a straightforward connection between certain auxiliary quantities involving the recurrence coefficients of these polynomials and Painlevé V equation via iterative regularisation. Furthermore, we explore how iterative regularisation yields polynomial systems and enables us to find decompositions of certain birational transformations. |
| title | Differential system related to Krawtchouk polynomials: iterated regularisation and Painlevé equation |
| topic | Classical Analysis and ODEs Mathematical Physics 34M55, 42C05 |
| url | https://arxiv.org/abs/2411.18192 |