Asymptotics of the Stirling numbers of the first kind revisited: A saddle point approach
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...
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| Format: | Article |
| Language: | English |
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Discrete Mathematics & Theoretical Computer Science
2010-01-01
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| Series: | Discrete Mathematics & Theoretical Computer Science |
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| Online Access: | https://dmtcs.episciences.org/501/pdf |