Fourier transforms of orthogonal polynomials on the cone
Fuente:
arXiv
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| Autores principales: | , |
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| Formato: | Preprint |
| Publicado: |
2024
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| Materias: | |
| Acceso en línea: | |
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| _version_ | 1866929624098799616 |
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| author | Karaman, Rabia Aktaş Area, Iván |
| author_facet | Karaman, Rabia Aktaş Area, Iván |
| contents | The purpose of this paper is to obtain Fourier transforms of multivariate orthogonal polynomials on the cone such as Laguerre polynomials on the cone and Jacobi polynomials on the cone and to define two new families of multivariate orthogonal functions by using Parseval's identity. Also, the obtained results are expressed in terms of the continuous Hahn polynomials. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2412_07869 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Fourier transforms of orthogonal polynomials on the cone Karaman, Rabia Aktaş Area, Iván Classical Analysis and ODEs Primary 33C50, 33C70, 33C45 Secondary 42B10 The purpose of this paper is to obtain Fourier transforms of multivariate orthogonal polynomials on the cone such as Laguerre polynomials on the cone and Jacobi polynomials on the cone and to define two new families of multivariate orthogonal functions by using Parseval's identity. Also, the obtained results are expressed in terms of the continuous Hahn polynomials. |
| title | Fourier transforms of orthogonal polynomials on the cone |
| topic | Classical Analysis and ODEs Primary 33C50, 33C70, 33C45 Secondary 42B10 |
| url | https://arxiv.org/abs/2412.07869 |