On the asymptotic normality of the Legendre-Stirling numbers of the   second kind
  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. 
Wolfgang Gawronski, Lance L. Littlejohn, Thorsten Neuschel
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