Symmetric Division of Linear Ordinary Differential Operators
Fuente:
arXiv
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| Hauptverfasser: | , |
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| Format: | Preprint |
| Veröffentlicht: |
2025
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| _version_ | 1866914071409852416 |
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| author | Du, Lixin Kauers, Manuel |
| author_facet | Du, Lixin Kauers, Manuel |
| contents | The symmetric product of two ordinary linear differential operators $L_1,L_2$ is an operator whose solution set contains the product $f_1f_2$ of any solution $f_1$ of $L_1$ and any solution $f_2$ of~$L_2$. It is well known how to compute the symmetric product of two given operators $L_1,L_2$. In this paper we consider the corresponding division problem: given a symmetric product $L$ and one of its factors, what can we say about the other factors? |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2510_01436 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Symmetric Division of Linear Ordinary Differential Operators Du, Lixin Kauers, Manuel Symbolic Computation The symmetric product of two ordinary linear differential operators $L_1,L_2$ is an operator whose solution set contains the product $f_1f_2$ of any solution $f_1$ of $L_1$ and any solution $f_2$ of~$L_2$. It is well known how to compute the symmetric product of two given operators $L_1,L_2$. In this paper we consider the corresponding division problem: given a symmetric product $L$ and one of its factors, what can we say about the other factors? |
| title | Symmetric Division of Linear Ordinary Differential Operators |
| topic | Symbolic Computation |
| url | https://arxiv.org/abs/2510.01436 |