Asymptotic analysis of the Bell polynomials by the ray method
From MaRDI portal
Publication:1035619
DOI10.1016/j.cam.2009.02.082zbMath1180.33007arXiv0709.0252OpenAlexW1992614214MaRDI QIDQ1035619
Publication date: 4 November 2009
Published in: Journal of Computational and Applied Mathematics (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/0709.0252
Bell and Stirling numbers (11B73) Orthogonal polynomials and functions of hypergeometric type (Jacobi, Laguerre, Hermite, Askey scheme, etc.) (33C45)
Related Items (8)
Polynomial sequences associated with the moments of hypergeometric weights ⋮ Iterated integrals of polynomials ⋮ Zero distribution of polynomials satisfying a differential-difference equation ⋮ Beyond the hypothesis of boundedness for the random coefficient of the Legendre differential equation with uncertainties ⋮ Asymptotic and factorial expansions of Euler series truncation errors via exponential polynomials ⋮ Asymptotic analysis of a family of polynomials associated with the inverse error function ⋮ Computation of certain infinite series of the form \(\sum f(n)n^k \) for arbitrary real-valued \(k\) ⋮ On asymptotic properties of Bell polynomials and concentration of vertex degree of large random graphs
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Single variable Bell polynomials
- On the Lambert \(w\) function
- A uniform asymptotic expansion of the single variable Bell polynomials
- Asymptotic analysis of generalized Hermite polynomials
- Eulerian number asymptotics
- Asymptotic analysis of the Hermite polynomials from their differential–difference equation
- Note on the Single Variable Bell Polynomials
- Strong asymptotics of the generating polynomials of the Stirling numbers of the second kind
- Weak asymptotics for the generating polynomials of the Stirling numbers of the second kind
This page was built for publication: Asymptotic analysis of the Bell polynomials by the ray method