| Автор | Drummond, J. E. |
| Дата выпуска | 1975 |
| dc.description | AbstractA formula is given for assigning sums to divergent series where the ratio of adjacent terms varies slowly along the series. This formula consistş of a weighted average of partial sums and is shown to be a general formula which can be easily calculated using a simple recurrence relation. It appears to be more powerful than a repeated Aitken or Shanks e<sub>1</sub> process as long as the transformed series remains divergent and it is also compared with the Padé approximants. It is demonstrated on a factorial series, on a nearly geometric divergent series and for the extrapolation of a velocity formula for small amplitudes of motion. |
| Формат | application.pdf |
| Издатель | Cambridge University Press |
| Копирайт | Copyright © Australian Mathematical Society 1975 |
| Название | A formula for summing divergent series |
| Тип | research-article |
| DOI | 10.1017/S0334270000001089 |
| Electronic ISSN | 1446-8735 |
| Print ISSN | 0334-2700 |
| Журнал | The Journal of the Australian Mathematical Society. Series B. Applied Mathematics |
| Том | 19 |
| Первая страница | 200 |
| Последняя страница | 214 |
| Аффилиация | Drummond J. E.; Australian National University |
| Выпуск | 2 |
