Popa's "Recurrent Sequences" and Reciprocity
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arXiv
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| Format: | Preprint |
| Published: |
2024
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| _version_ | 1866915354289111040 |
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| author | Finch, Steven |
| author_facet | Finch, Steven |
| contents | Dumitru Popa found asymptotic expansions for certain nonlinear recurrences, but left open the numerical evaluation of associated constants. We address this issue. A change of variables involving reciprocals and the algorithm of Mavecha & Laohakosol play a key role in our computations. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2412_11806 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Popa's "Recurrent Sequences" and Reciprocity Finch, Steven Classical Analysis and ODEs Discrete Mathematics Combinatorics Number Theory 39A20 (Primary) 11B37, 26A18, 37E05, 41A60, 65D20 (Secondary) Dumitru Popa found asymptotic expansions for certain nonlinear recurrences, but left open the numerical evaluation of associated constants. We address this issue. A change of variables involving reciprocals and the algorithm of Mavecha & Laohakosol play a key role in our computations. |
| title | Popa's "Recurrent Sequences" and Reciprocity |
| topic | Classical Analysis and ODEs Discrete Mathematics Combinatorics Number Theory 39A20 (Primary) 11B37, 26A18, 37E05, 41A60, 65D20 (Secondary) |
| url | https://arxiv.org/abs/2412.11806 |