Asymptotics of the Chebyshev-Stirling numbers of the first kind

摘要

The asymptotic behaviour of the Chebyshev-Stirling numbers of the second kind, a special case of the Jacobi-Stirling numbers, has been established in a recent paper by Gawronski, Littlejohn and Neuschel. In this paper, we provide an asymptotic formula for the Chebyshev-Stirling numbers of the first kind. New recurrence relations for the Euler-Riemann zeta function