Inverse polynomial expansions of Laurent series. II
type: Item
instance of: scholarly article
title: Inverse polynomial expansions of Laurent series. II
zbMATH Open document ID: 0684.30030
DOI: 10.1016/0377-0427(89)90337-3
author: Arnold Knopfmacher
author: John Knopfmacher
published in: Journal of Computational and Applied Mathematics
publication date: 1989-01-01T00:00:00Z
review text: An algorithm is given, and shown to lead to various series expansions of formal Laurent series, as the sums of reciprocals of polynomials. The degrees of approximation by the rational functions which are the partial sums of these series are investigated. The types of series corresponding to rational functions themselves are also partially characterized. The first paper of this sequence appeared in Constructive Approximation 4, 379-389 (1988; Zbl 0659.41024).
Mathematics Subject Classification ID: 30E10
Mathematics Subject Classification ID: 30B10
Mathematics Subject Classification ID: 41A25
zbMATH DE Number: 4120491
zbMATH Keywords: series expansions
zbMATH Keywords: Laurent series
zbMATH Keywords: degrees of approximation
reviewed by: Nico M. Temme
MaRDI profile type: Publication
full work available at URL: 0377-0427(89)90337-3
OpenAlex ID: W2036180223
cites work: Continued fractions of algebraic power series in characteristic 2
cites work: Convergence of Continued Fractions
cites work: Inverse polynomial expansions of Laurent series
cites work: A product representation for power series
cites work: A general continued fraction expansion
cites work: Certain continued fractions associated with the Padé table
cites work: The representation of real numbers by infinite series of rationals
cites work: The method of trigonometric sums in the metric theory of diophantine approximations of dependent quantities
cites work: Q5732722
description: scientific article; zbMATH DE number 4120491