Skip to main content
Kent Academic Repository

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.
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: Divisions > Division of Computing, Engineering and Mathematical Sciences > School of Mathematics, Statistics and Actuarial Science
Depositing User: P. Ogbuji
Date Deposited: 02 Jul 2009 15:54 UTC
Last Modified: 16 Nov 2021 09:58 UTC
Resource URI: https://kar.kent.ac.uk/id/eprint/20464 (The current URI for this page, for reference purposes)

University of Kent Author Information

  • Depositors only (login required):

Total unique views for this document in KAR since July 2020. For more details click on the image.