The asymptotic behavior of the Stirling numbers of the first kind
From MaRDI portal
Publication:1318373
DOI10.1016/0097-3165(93)90103-FzbMath0795.05005MaRDI QIDQ1318373
Publication date: 27 March 1994
Published in: Journal of Combinatorial Theory. Series A (Search for Journal in Brave)
Exact enumeration problems, generating functions (05A15) Bell and Stirling numbers (11B73) Factorials, binomial coefficients, combinatorial functions (05A10) Asymptotic enumeration (05A16)
Related Items
What is the dimension of citation space?, Variations of central limit theorems and Stirling numbers of the first kind, Two series expansions for the logarithm of the gamma function involving Stirling numbers and containing only rational coefficients for certain arguments related to \(\pi^{-1}\), Asymptotic expansions for the Stirling numbers of the first kind, Convex hulls of random walks, hyperplane arrangements, and Weyl chambers, Horizontal and vertical log-concavity, Explicit upper bounds for the Stirling numbers of the first kind, Convex hulls of random walks: expected number of faces and face probabilities, Series representations for the Stieltjes constants, Mod-\( \phi\) convergence of Stirling distributions and limit theorems for zeros of their generating functions, The estimation of the zeros of the Bell and \( r\)-Bell polynomials, Expansions of generalized Euler's constants into the series of polynomials in \(\pi^{- 2}\) and into the formal enveloping series with rational coefficients only, Some limit theorems with respect to constrained permutations and partitions, New properties of \(r\)-Stirling series, Completely effective error bounds for Stirling numbers of the first and second kinds via Poisson approximation, Modified stochastic fragmentation of an interval as an ageing process, Asymptotic behavior of permutation records
Cites Work
