On the asymptotic normality of the Legendre–Stirling numbers of the second kind
| Autor: | Wolfgang Gawronski, Lance L. Littlejohn, Thorsten Neuschel |
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| Rok vydání: | 2015 |
| Předmět: |
Asymptotic analysis
Mathematics::Combinatorics Local asymptotic normality Mathematics::Number Theory Mathematics::History and Overview Asymptotic distribution Stirling numbers of the second kind Unimodality Combinatorics Discrete Mathematics and Combinatorics Computer Science::Symbolic Computation Legendre polynomials Mathematics Central limit theorem |
| Zdroj: | European Journal of Combinatorics. 49:218-231 |
| ISSN: | 0195-6698 |
| DOI: | 10.1016/j.ejc.2015.03.014 |
| Popis: | For the Legendre-Stirling numbers of the second kind asymptotic formulae are derived in terms of a local central limit theorem. Thereby, supplements of the recently published asymptotic analysis of the Chebyshev-Stirling numbers are established. Moreover, we provide results on the asymptotic normality and unimodality for modified Legendre-Stirling numbers. |
| Databáze: | OpenAIRE |
| Externí odkaz: |
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