On a symmetry in strong distributions.

John Henry McCabe; CF Bracciali; A Sri Ranga

On a symmetry in strong distributions.

John Henry McCabe, CF Bracciali, A Sri Ranga

School of Mathematics and Statistics

Research output: Contribution to journal › Article › peer-review

10 Citations (Scopus)

Abstract

A strong Stieltjes distribution d psi(t) is called symmetric if it satisfies the property

t(omega) d psi(beta(2)/t) = -(beta(2)/t)(omega) d psi(t), for t is an element of (a, b) subset of or equal to (0, infinity), 2 omega is an element of Z, and beta > 0.

In this article some consequences of symmetry on the moments, the orthogonal L-polynomials and the quadrature formulae associated with the distribution are given. (C) 1999 Elsevier Science B.V. All rights reserved.

Original language	English
Pages (from-to)	187-198
Number of pages	12
Journal	Journal of Computational and Applied Mathematics
Volume	105
Publication status	Published - 31 May 1999

Keywords

symmetric distribution
continued fraction
quadrature formula
ORTHOGONAL LAURENT-POLYNOMIALS
LOG-NORMAL DISTRIBUTIONS
MOMENT PROBLEM
FRACTIONS

Cite this

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title = "On a symmetry in strong distributions.",

abstract = "A strong Stieltjes distribution d psi(t) is called symmetric if it satisfies the propertyt(omega) d psi(beta(2)/t) = -(beta(2)/t)(omega) d psi(t), for t is an element of (a, b) subset of or equal to (0, infinity), 2 omega is an element of Z, and beta > 0.In this article some consequences of symmetry on the moments, the orthogonal L-polynomials and the quadrature formulae associated with the distribution are given. (C) 1999 Elsevier Science B.V. All rights reserved.",

keywords = "symmetric distribution, continued fraction, quadrature formula, ORTHOGONAL LAURENT-POLYNOMIALS, LOG-NORMAL DISTRIBUTIONS, MOMENT PROBLEM, FRACTIONS",

author = "McCabe, {John Henry} and CF Bracciali and {Sri Ranga}, A",

year = "1999",

month = may,

day = "31",

language = "English",

volume = "105",

pages = "187--198",

journal = "Journal of Computational and Applied Mathematics",

issn = "0377-0427",

publisher = "Elsevier",

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TY - JOUR

T1 - On a symmetry in strong distributions.

AU - McCabe, John Henry

AU - Bracciali, CF

AU - Sri Ranga, A

PY - 1999/5/31

Y1 - 1999/5/31

N2 - A strong Stieltjes distribution d psi(t) is called symmetric if it satisfies the propertyt(omega) d psi(beta(2)/t) = -(beta(2)/t)(omega) d psi(t), for t is an element of (a, b) subset of or equal to (0, infinity), 2 omega is an element of Z, and beta > 0.In this article some consequences of symmetry on the moments, the orthogonal L-polynomials and the quadrature formulae associated with the distribution are given. (C) 1999 Elsevier Science B.V. All rights reserved.

AB - A strong Stieltjes distribution d psi(t) is called symmetric if it satisfies the propertyt(omega) d psi(beta(2)/t) = -(beta(2)/t)(omega) d psi(t), for t is an element of (a, b) subset of or equal to (0, infinity), 2 omega is an element of Z, and beta > 0.In this article some consequences of symmetry on the moments, the orthogonal L-polynomials and the quadrature formulae associated with the distribution are given. (C) 1999 Elsevier Science B.V. All rights reserved.

KW - symmetric distribution

KW - continued fraction

KW - quadrature formula

KW - ORTHOGONAL LAURENT-POLYNOMIALS

KW - LOG-NORMAL DISTRIBUTIONS

KW - MOMENT PROBLEM

KW - FRACTIONS

M3 - Article

SN - 0377-0427

VL - 105

SP - 187

EP - 198

JO - Journal of Computational and Applied Mathematics

JF - Journal of Computational and Applied Mathematics

ER -

On a symmetry in strong distributions.

Abstract

Keywords

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