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On the constant coefficients of a certain recurrence relation: A simple proof
In this note, we provide a short proof for the explicit formulas of the coefficients of a particular 3-term recurrence relation derived from a k-periodic recurrence. Any of the recurrences can be naturally interpreted in terms of determinants of Hessenberg matrices families.
| Autores principales: | , |
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| Formato: | Online Artículo Texto |
| Lenguaje: | English |
| Publicado: |
Elsevier
2021
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| Acceso en línea: | https://www.ncbi.nlm.nih.gov/pmc/articles/PMC8379454/ https://www.ncbi.nlm.nih.gov/pubmed/34458611 http://dx.doi.org/10.1016/j.heliyon.2021.e07764 |
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| author | Anđelić, Milica da Fonseca, Carlos M. |
| author_facet | Anđelić, Milica da Fonseca, Carlos M. |
| author_sort | Anđelić, Milica |
| collection | PubMed |
| description | In this note, we provide a short proof for the explicit formulas of the coefficients of a particular 3-term recurrence relation derived from a k-periodic recurrence. Any of the recurrences can be naturally interpreted in terms of determinants of Hessenberg matrices families. |
| format | Online Article Text |
| id | pubmed-8379454 |
| institution | National Center for Biotechnology Information |
| language | English |
| publishDate | 2021 |
| publisher | Elsevier |
| record_format | MEDLINE/PubMed |
| spelling | pubmed-83794542021-08-26 On the constant coefficients of a certain recurrence relation: A simple proof Anđelić, Milica da Fonseca, Carlos M. Heliyon Research Article In this note, we provide a short proof for the explicit formulas of the coefficients of a particular 3-term recurrence relation derived from a k-periodic recurrence. Any of the recurrences can be naturally interpreted in terms of determinants of Hessenberg matrices families. Elsevier 2021-08-13 /pmc/articles/PMC8379454/ /pubmed/34458611 http://dx.doi.org/10.1016/j.heliyon.2021.e07764 Text en © 2021 Published by Elsevier Ltd. https://creativecommons.org/licenses/by-nc-nd/4.0/This is an open access article under the CC BY-NC-ND license (http://creativecommons.org/licenses/by-nc-nd/4.0/). |
| spellingShingle | Research Article Anđelić, Milica da Fonseca, Carlos M. On the constant coefficients of a certain recurrence relation: A simple proof |
| title | On the constant coefficients of a certain recurrence relation: A simple proof |
| title_full | On the constant coefficients of a certain recurrence relation: A simple proof |
| title_fullStr | On the constant coefficients of a certain recurrence relation: A simple proof |
| title_full_unstemmed | On the constant coefficients of a certain recurrence relation: A simple proof |
| title_short | On the constant coefficients of a certain recurrence relation: A simple proof |
| title_sort | on the constant coefficients of a certain recurrence relation: a simple proof |
| topic | Research Article |
| url | https://www.ncbi.nlm.nih.gov/pmc/articles/PMC8379454/ https://www.ncbi.nlm.nih.gov/pubmed/34458611 http://dx.doi.org/10.1016/j.heliyon.2021.e07764 |
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