Asymptotics of the Stirling numbers of the first kind revisited: A saddle point approach
| Autor: | Guy Louchard |
|---|---|
| Jazyk: | angličtina |
| Rok vydání: | 2010 |
| Předmět: | |
| Zdroj: | Discrete Mathematics & Theoretical Computer Science, Vol Vol. 12 no. 2 (2010) |
| Druh dokumentu: | article |
| ISSN: | 1365-8050 |
| DOI: | 10.46298/dmtcs.501 |
| Popis: | Using the saddle point method, we obtain from the generating function of the Stirling numbers of the first kind [n j] and Cauchy's integral formula, asymptotic results in central and non-central regions. In the central region, we revisit the celebrated Goncharov theorem with more precision. In the region j = n - n(alpha); alpha > 1/2, we analyze the dependence of [n j] on alpha. |
| Databáze: | Directory of Open Access Journals |
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