The symmetric strong moment problem
type: Item
instance of: scholarly article
title: The symmetric strong moment problem
zbMATH Open document ID: 0860.30003
DOI: 10.1016/0377-0427(94)00125-1
author: A. K. Common
author: J. H. McCabe
published in: Journal of Computational and Applied Mathematics
publication date: 1996-07-23T00:00:00Z
review text: The authors study continued fractions corresponding to the two series \[ \begin{aligned} L_\infty(z) &=\mu_0z^{-1}+ \mu_1z^{-2}+\mu_2z^{-3}+\cdots\\ L_0(z) &=-\mu_{-1}- \mu_{-2}z-\mu_{-3}z^2-\cdots\end{aligned} \] at \(z=\infty\) and \(z=0\) respectively, in the special case where \(\mu_{-n}=\mu_n\) for all \(n\). The particular case where \(\{\mu_n\}\) is the solution of a strong Stieltjes moment problem is of special interest. Two sequences of corresponding orthogonal polynomials are derived and the connection between them established. Finally, the results are applied to the log-normal distribution.
Mathematics Subject Classification ID: 30B70
Mathematics Subject Classification ID: 30E05
Mathematics Subject Classification ID: 41A21
zbMATH DE Number: 908378
zbMATH Keywords: strong Stieltjes moment problem
zbMATH Keywords: log-normal distribution
reviewed by: Lisa Lorentzen
MaRDI profile type: Publication
full work available at URL: 0377-0427(94)00125-1
OpenAlex ID: W2093443478
cites work: A solution of the initial value problem for half-infinite integrable lattice systems
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cites work: A Formal Extension of the Padé Table to Include Two Point Padé Quotients
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cites work: On the extensions of some classical distributions
description: scientific article; zbMATH DE number 908378