descriptionPublicationkeyboard_double_arrow_right Article , Preprint 01 Oct 2015Embargo end date: 01 Jan 2014 English Publisher:Elsevier BVJournal:European Journal of Combinatorics, volume 49, pages 218-231 (issn: 0195-6698,

Authors: Lance L. Littlejohn; Wolfgang Gawronski; Thorsten Neuschel;

doi: 10.1016/j.ejc.2015.03.014 , 10.48550/arxiv.1408.0477

arXiv: http://arxiv.org/abs/1408.0477

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

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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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Keywords

Mathematics - Classical Analysis and ODEs, Classical Analysis and ODEs (math.CA), FOS: Mathematics, Mathematics - Combinatorics, Combinatorics (math.CO)

6 Research products, page 1 of 1

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