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)
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(KAR id:20464)

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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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