Summing series using recurrence relations
Fuente:
arXiv
Enregistré dans:
| Auteur principal: | |
|---|---|
| Format: | Preprint |
| Publié: |
2026
|
| Sujets: | |
| Accès en ligne: | |
| Tags: |
Ajouter un tag
Pas de tags, Soyez le premier à ajouter un tag!
|
| _version_ | 1866917206122561536 |
|---|---|
| author | Talvila, Erik |
| author_facet | Talvila, Erik |
| contents | Power series in which the summand satisfies a linear recurrence relation with polynomial coefficients are shown to be the solution of a linear differential or algebraic equation. Solving the associated differential or algebraic equation yields a closed form for the series. This method is used to sum several series and to solve two {\it American Mathematical Monthly} problems. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2601_10777 |
| institution | arXiv |
| publishDate | 2026 |
| record_format | arxiv |
| spellingShingle | Summing series using recurrence relations Talvila, Erik General Mathematics 39A06, 40A05 Power series in which the summand satisfies a linear recurrence relation with polynomial coefficients are shown to be the solution of a linear differential or algebraic equation. Solving the associated differential or algebraic equation yields a closed form for the series. This method is used to sum several series and to solve two {\it American Mathematical Monthly} problems. |
| title | Summing series using recurrence relations |
| topic | General Mathematics 39A06, 40A05 |
| url | https://arxiv.org/abs/2601.10777 |