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) |
| Institutional Unit: | Schools > School of Engineering, Mathematics and Physics > Mathematical Sciences |
| Former Institutional Unit: |
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: | 20 May 2025 11:33 UTC |
| Resource URI: | https://kar.kent.ac.uk/id/eprint/20464 (The current URI for this page, for reference purposes) |
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