Asymptotics of Chebyshev-Stirling and Stirling numbers of the second kind

摘要

For the Chebyshev-Stirling numbers, a special case of the Jacobi-Stirlingnumbers, asymptotic formulae are derived in terms of a local central limittheorem. The underlying probabilistic approach also applies to the classicalStirling numbers of the second kind. Thereby a supplement of the asymptoticanalysis for these numbers is established.