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| Main Authors: | , , |
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| Format: | Preprint |
| Published: |
2026
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| Subjects: | |
| Online Access: | https://arxiv.org/abs/2601.19416 |
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| _version_ | 1866915757728727040 |
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| author | Fernández, Lidia Foulquié-Moreno, Ana Villegas, Juan Antonio |
| author_facet | Fernández, Lidia Foulquié-Moreno, Ana Villegas, Juan Antonio |
| contents | It is known that Rodrigues formulas provide a very powerful tool to compute orthogonal polynomials with respect to classical weights. We provide an example of bivariate multiple polynomials on the simplex defined via a Rodrigues formula. This approach offers a natural generalization of Jacobi--Piñeiro polynomials to the multivariate setting. Moreover, we apply these polynomials to the study of the bivariate Hermite--Padé problem on the triangle. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2601_19416 |
| institution | arXiv |
| publishDate | 2026 |
| record_format | arxiv |
| spellingShingle | Jacobi-Piñeiro Multiple Orthogonal Polynomials on the simplex Fernández, Lidia Foulquié-Moreno, Ana Villegas, Juan Antonio Classical Analysis and ODEs Numerical Analysis 33C45, 42C05 It is known that Rodrigues formulas provide a very powerful tool to compute orthogonal polynomials with respect to classical weights. We provide an example of bivariate multiple polynomials on the simplex defined via a Rodrigues formula. This approach offers a natural generalization of Jacobi--Piñeiro polynomials to the multivariate setting. Moreover, we apply these polynomials to the study of the bivariate Hermite--Padé problem on the triangle. |
| title | Jacobi-Piñeiro Multiple Orthogonal Polynomials on the simplex |
| topic | Classical Analysis and ODEs Numerical Analysis 33C45, 42C05 |
| url | https://arxiv.org/abs/2601.19416 |