Asymptotic Development of the Stirling Numbers of the First Kind
From MaRDI portal
Publication:3249872
DOI10.1112/jlms/s1-33.2.133zbMath0081.28202OpenAlexW2034398966MaRDI QIDQ3249872
Publication date: 1958
Published in: Journal of the London Mathematical Society (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1112/jlms/s1-33.2.133
Related Items
The profile of binary search trees ⋮ On growing random binary trees ⋮ Stirling Number Asymptotics from Recursion Equations Using the Ray Method ⋮ Two series expansions for the logarithm of the gamma function involving Stirling numbers and containing only rational coefficients for certain arguments related to \(\pi^{-1}\) ⋮ Bell numbers in Matsunaga's and Arima's Genjikō combinatorics: modern perspectives and local limit theorems ⋮ Explicit estimates for Comtet numbers of the first kind ⋮ On Random Generation of the Symmetric Group ⋮ Uniform estimates for almost primes over finite fields ⋮ Explicit upper bounds for the Stirling numbers of the first kind ⋮ Mod-\( \phi\) convergence of Stirling distributions and limit theorems for zeros of their generating functions ⋮ Attacks and alignments: rooks, set partitions, and permutations ⋮ A class of models of selectively neutral alleles ⋮ Classical and almost sure local limit theorems ⋮ Region distributions of graph embeddings and Stirling numbers ⋮ Sample complexity of the distinct elements problem ⋮ Expansions of generalized Euler's constants into the series of polynomials in \(\pi^{- 2}\) and into the formal enveloping series with rational coefficients only ⋮ New properties of \(r\)-Stirling series ⋮ Codimension Growth of Strong Lie Nilpotent Associative Algebras ⋮ Completely effective error bounds for Stirling numbers of the first and second kinds via Poisson approximation ⋮ Some identities involving Bernoulli and Stirling numbers. ⋮ Counting parabolic double cosets in symmetric groups ⋮ Uniform asymptotics of the coefficients of unitary moment polynomials ⋮ Sur les valeurs asymptotiques des nombres et des polynômes de Bernoulli ⋮ A unified approach to generalized Stirling numbers ⋮ Extended Stirling numbers of the first kind associated with Daehee numbers and polynomials ⋮ Central and local limit theorems applied to asymptotic enumeration ⋮ Asymptotic behavior of permutation records ⋮ Equivalent asymptotic formulas of second kindr-Whitney numbers ⋮ Lah distribution: Stirling numbers, records on compositions, and convex hulls of high-dimensional random walks ⋮ Asymptotic Estimates of Stirling Numbers ⋮ The asymptotic behavior of the Stirling numbers of the first kind
