On a symmetry in strong distributions
type: Item
instance of: scholarly article
title: On a symmetry in strong distributions
zbMATH Open document ID: 0973.41014
DOI: 10.1016/S0377-0427(99)00046-1
author: A. Sri Ranga
author: Cleonice F. Bracciali
author: J. H. McCabe
published in: Journal of Computational and Applied Mathematics
publication date: 2001-11-23T00:00:00Z
review text: The author abstract: A strong Stieltjes distribution \(d\psi(t)\) is called symmetric if it satisfies the property \[ t^\omega d\psi(\beta^2/t)= -(\beta^2/t)^\omega d\psi(t), \quad \text{for }t \in (a,b)\subseteq(0,\infty), \;2\omega \in \mathbb Z \text{ and }\beta>0 \] In this article some consequences of symmetry on the moments, the orthogonal \(L\)-polynomials and the quadrature formulae associated with the distribution are given.
Mathematics Subject Classification ID: 41A55
Mathematics Subject Classification ID: 30E05
Mathematics Subject Classification ID: 30B70
zbMATH DE Number: 1334861
zbMATH Keywords: symmetric distribution
zbMATH Keywords: continued fraction
zbMATH Keywords: quadrature formula
zbMATH Keywords: strong Stieltjes distribution
zbMATH Keywords: orthogonal \(L\)-polynomials
MaRDI profile type: Publication
cites work: Q4170993
cites work: Orthogonal Laurent-polynomials and continued fractions associated with log-normal distributions
cites work: The symmetric strong moment problem
cites work: PC-fractions and orthogonal Laurent polynomials for log-normal distributions
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description: scientific article; zbMATH DE number 1334861