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arXiv · 1408.0477

On the asymptotic normality of the Legendre-Stirling numbers of the second kind

Wolfgang Gawronski·Lance L. Littlejohn·Thorsten Neuschel
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Abstract

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.

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Wolfgang Gawronski, Lance L. Littlejohn, Thorsten Neuschel. 2014-08-03. On the asymptotic normality of the Legendre-Stirling numbers of the second kind. https://arxiv.org/abs/1408.0477

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