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

Abstract

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

16 pages

References in corpus (1)

• Boolean complexes for Ferrers graphs

Cited by in corpus (1)

• Wiman-Valiron theory for a polynomial series based on the Wilson operator