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| Main Author: | |
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| Format: | Preprint |
| Published: |
2026
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| Subjects: | |
| Online Access: | https://arxiv.org/abs/2605.17013 |
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| _version_ | 1866914572471894016 |
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| author | Li, Zhongjie |
| author_facet | Li, Zhongjie |
| contents | We establish a sufficient condition for the ultimate positivity of P-recursive sequences of arbitrary order with a unique dominant root. By additionally verifying finitely many initial terms, the positivity can also be resolved. As an application, we provide several examples of P-recursive sequences of order greater than two. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2605_17013 |
| institution | arXiv |
| publishDate | 2026 |
| record_format | arxiv |
| spellingShingle | Positivity of arbitrary-order P-recursive sequences with a unique dominant root Li, Zhongjie Combinatorics We establish a sufficient condition for the ultimate positivity of P-recursive sequences of arbitrary order with a unique dominant root. By additionally verifying finitely many initial terms, the positivity can also be resolved. As an application, we provide several examples of P-recursive sequences of order greater than two. |
| title | Positivity of arbitrary-order P-recursive sequences with a unique dominant root |
| topic | Combinatorics |
| url | https://arxiv.org/abs/2605.17013 |