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Continued Fractions for the Symmetric Strong Stieltjes Moment Problem

Common, Alan K. and McCabe, J.H. (1993) Continued Fractions for the Symmetric Strong Stieltjes Moment Problem. In: Cuyt, A., ed. Nonlinear Numerical Methods and Rational Approximation II. Mathematics and Its Applications . Kluwer Academic, pp. 387-394. ISBN 978-94-010-4420-2. E-ISBN 978-94-011-0970-3. (doi:10.1007/978-94-011-0970-3_29) (The full text of this publication is not currently available from this repository. You may be able to access a copy if URLs are provided) (KAR id:20464)

The full text of this publication is not currently available from this repository. You may be able to access a copy if URLs are provided. (Contact us about this Publication)
Official URL
http://dx.doi.org/10.1007/978-94-011-0970-3_29

Abstract

The properties of the Strong Stieltjes moment problem

μn=∫∞0undψ(u);n=0,±1,±2,...

with ψ(u)a bounded non-decreasing function of u have been well studied. Here we consider the case when the moments have the SYMMETRY property

μn=μ−n;n=1,2,..

It will be demonstrated that continued fractions constructed from series with these moments as coefficients have corresponding symmetry properties. In particular we consider implications for M-fractions, T-fractions and PC-fractions corresponding to the log-normal distribution.

Item Type: Book section
DOI/Identification number: 10.1007/978-94-011-0970-3_29
Subjects: Q Science > QA Mathematics (inc Computing science)
Divisions: Faculties > Sciences > School of Mathematics Statistics and Actuarial Science
Depositing User: P. Ogbuji
Date Deposited: 02 Jul 2009 15:54 UTC
Last Modified: 06 Aug 2019 10:57 UTC
Resource URI: https://kar.kent.ac.uk/id/eprint/20464 (The current URI for this page, for reference purposes)
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