On certain symmetric strong distributions, two-point Padé approximation and related quadratures

DOI10.1016/J.APNUM.2009.03.003zbMath1166.30018OpenAlexW1963523105MaRDI QIDQ1030683

M. Jiménez Paiz, Pablo González-Vera, Ramón Orive, Carlos Díaz-Mendoza

Publication date: 2 July 2009

Published in: Applied Numerical Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.apnum.2009.03.003

zbMATH Keywords

orthogonal polynomialsCauchy transformstrong distributionstwo-point Padé-type approximation

Mathematics Subject Classification ID

Approximation in the complex plane (30E10) Padé approximation (41A21) Asymptotic expansions of solutions to ordinary differential equations (34E05)

Related Items (1)

Foreword to the proceedings of the OrthoQuad 2014 conference

Uses Software

• ARPREC

Cites Work

• Unnamed Item
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• Orthogonal Laurent polynomials and strong moment theory: A survey
• Two-point Padé-type approximation to the Cauchy transform of certain strong distributions
• A Chebyshev-type quadrature rule with some interesting properties
• Another quadrature rule of highest algebraic degree of precision
• Rate of convergence of two-point Padé approximants and logarithmic asymptotics of Laurent-type orthogonal polynomials
• Some consequences of a symmetry in strong distributions
• The symmetric strong moment problem
• On the convergence of two-point Padé-type approximants
• On a Recurrence Formula Associated with Strong Distributions
• On the extensions of some classical distributions
• A Strong Stieltjes Moment Problem
• Symmetric Orthogonal Polynomials and the Associated Orthogonal L-Polynomials
• Strong Stieltjes distributions and orthogonal Laurent polynomials with applications to quadratures and Padé approximation
• Padé approximants and quadratures related to certain strong distributions

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