Title | ||
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Orthogonal Laurent polynomials corresponding to certain strong Stieltjes distributions with applications to numerical quadratures |
Abstract | ||
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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 |
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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-Mendoza | 1 | 20 | 4.56 |
Pablo GonzáLez-Vera | 2 | 100 | 17.26 |
M. Jiménez Paiz | 3 | 18 | 3.14 |
F. Cala Rodríguez | 4 | 3 | 0.64 |