Treffer: Simultaneous Rational Approximants for a Pair of Functions with Smooth Maclaurin Series Coefficients: Simultaneous rational approximants for a pair of functions with smooth Maclaurin series coefficients
Title:
Simultaneous Rational Approximants for a Pair of Functions with Smooth Maclaurin Series Coefficients: Simultaneous rational approximants for a pair of functions with smooth Maclaurin series coefficients
Authors:
Source:
Journal of Approximation Theory. 83:308-329
Publisher Information:
Elsevier BV, 1995.
Publication Year:
1995
Subject Terms:
Document Type:
Fachzeitschrift
Article
File Description:
application/xml
Language:
English
ISSN:
0021-9045
DOI:
10.1006/jath.1995.1123
Access URL:
Rights:
Elsevier Non-Commercial
Accession Number:
edsair.doi.dedup.....2ee3c63a2749c42300ad6f02c9c8d73a
Database:
OpenAIRE
Weitere Informationen
Let \(f(z) = \sum^\infty_{j = 0} a_j z^j\) and \(g(z) = \sum^\infty_{j = 0} b_j z^j\) be formal power series for which the quantities \(a_{j + 1} a_{j - 1}/a^2_j\) and \((b_j/b_{j + 1}) / (a_j / a_{j + 1})\) have a prescribed asymptotic behaviour as \(j \to \infty\). The author obtains the asymptotic behaviour as \(l \to \infty\) of the \((l - s,r,s)\), \(l,r,s \in \mathbb{N}\), Hermite-Padé approximant to \((f,g)\) and the associated determinants.