Logo image
Back
Current trends in asymptotics: some problems and some solutions
Journal article   Open access   Peer reviewed

Current trends in asymptotics: some problems and some solutions

Jet Wimp
Journal of computational and applied mathematics, v 35(1), pp 53-79
1991
DOI: https://doi.org/10.1016/0377-0427(91)90197-R
url
https://doi.org/10.1016/0377-0427(91)90197-rView
Published, Version of Record (VoR)Open Access (Publisher-Specific),  Open

Abstract

Asymptotic analysis asymptotic scales Bessel polynomials central limit theorem convolution sequences difference equations Freud problem generating functions hypergeometric functions moment problem orthogonal polynomials random walks unimodality
I discuss five topics of current interest in asymptotic analysis: the use of probabilistic methods to estimate the growth of combinatorial sequences, asymptotic methods in the theory of random walks, the asymptotic estimation of solutions of difference equations, asymptotic expansions in generalized scales, and the computation by asymptotic methods of distributions whose moments are known. I give a number of examples and mention some outstanding unsolved problems.

Metrics

2 Record Views
4 citations in Web of Science
5 citations in Scopus

Details

InCites Highlights

Data related to this publication, from InCites Benchmarking & Analytics tool:

Web of Science research areas
Mathematics, Applied
Logo image