Title
Orthogonal Laurent polynomials corresponding to certain strong Stieltjes distributions with applications to numerical quadratures
Abstract
In this paper we shall be mainly concerned with sequences of orthogonal Laurent polynomials associated with a class of strong Stieltjes distributions introduced by A.S. Ranga. Algebraic properties of certain quadratures formulae exactly integrating Laurent polynomials along with an application to estimate weighted integrals on [-1, 1] with nearby singularities are given. Finally, numerical examples involving interpolatory rules whose nodes are zeros of orthogonal Laurent polynomials are also presented.
Year
DOI
Venue
2006
10.1090/S0025-5718-05-01781-3
MATHEMATICS OF COMPUTATION
Keywords
Field
DocType
Strong Stieltjes distributions,orthogonal Laurent polynomials,quadrature formulas,Stieltjes transform,two-point Pade approximants
Wilson polynomials,Koornwinder polynomials,Classical orthogonal polynomials,Orthogonal polynomials,Mathematical analysis,Discrete orthogonal polynomials,Laurent series,Stieltjes transformation,Laurent polynomial,Mathematics
Journal
Volume
Issue
ISSN
75
253
0025-5718
Citations 
PageRank 
References 
3
0.64
3
Authors
4
Name
Order
Citations
PageRank
C. Díaz-Mendoza1204.56
Pablo GonzáLez-Vera210017.26
M. Jiménez Paiz3183.14
F. Cala Rodríguez430.64