On continued fractions corresponding to asymptotic series
type: Item
instance of: scholarly article
title: On continued fractions corresponding to asymptotic series
zbMATH Open document ID: 0572.30003
DOI: 10.1216/RMJ-1985-15-1-167
author: Burnett Meyer
published in: Rocky Mountain Journal of Mathematics
publication date: 1985-01-01T00:00:00Z
review text: Simple conditions on a sequence of functions \(f_ n\) with contact of order \(k_ n\to \infty\) with a formal power series for the power series to be asymptotic to a function f are established. The conditions are in terms of estimates on the differences of f and \(f_ n\) and \(f_ m\) and \(f_ n\) in terms of each other. These conditions are used to give a unification of some results for continued fractions and asymptotic expansions for their limit.
Mathematics Subject Classification ID: 30B70
Mathematics Subject Classification ID: 30E15
zbMATH DE Number: 3912691
zbMATH Keywords: C-fractions
zbMATH Keywords: T-fractions
zbMATH Keywords: J-fractions
reviewed by: Johan Karlsson
MaRDI profile type: Publication
full work available at URL: rmj-1985-15-1-167
OpenAlex ID: W2036576120
description: scientific article; zbMATH DE number 3912691