Solving Third Order Linear Difference Equations in Terms of Second Order Equations
Fuente:
arXiv
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| Autori principali: | , , |
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| Natura: | Preprint |
| Pubblicazione: |
2024
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| _version_ | 1866929380680269824 |
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| author | KaedBey, Heba Bou van Hoeij, Mark Tsui, Man Cheung |
| author_facet | KaedBey, Heba Bou van Hoeij, Mark Tsui, Man Cheung |
| contents | We present two algorithms for computing what we call the absolute factorization of a difference operator. We also give an algorithm to solve third order difference equations in terms of second order equations, together with applications to OEIS sequences. The latter algorithm is similar to existing algorithms for differential equations. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2402_11121 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Solving Third Order Linear Difference Equations in Terms of Second Order Equations KaedBey, Heba Bou van Hoeij, Mark Tsui, Man Cheung Commutative Algebra We present two algorithms for computing what we call the absolute factorization of a difference operator. We also give an algorithm to solve third order difference equations in terms of second order equations, together with applications to OEIS sequences. The latter algorithm is similar to existing algorithms for differential equations. |
| title | Solving Third Order Linear Difference Equations in Terms of Second Order Equations |
| topic | Commutative Algebra |
| url | https://arxiv.org/abs/2402.11121 |