Hermite orthogonal rational functions

DOI10.1216/rmjm/1181069973zbMath1043.65050OpenAlexW2016112461MaRDI QIDQ1425673

Brian A. Hagler

Publication date: 17 March 2004

Published in: Rocky Mountain Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1216/rmjm/1181069973

zbMATH Keywords

orthogonal rational functions\(d\)-fold Gauss quadraturerecurrence formulas, continued fractionsRodrigues type formulas

Mathematics Subject Classification ID

Orthogonal polynomials and functions of hypergeometric type (Jacobi, Laguerre, Hermite, Askey scheme, etc.) (33C45) Multidimensional problems (41A63) Approximate quadratures (41A55) Numerical quadrature and cubature formulas (65D32) Real rational functions (26C15)

Cites Work

• Quadrature on the half-line and two-point Padé approximants to Stieltjes functions. II: Convergence
• The strong Chebyshev distribution and orthogonal Laurent polynomials
• Laurent-Hermite-Gauss quadrature
• Orthogonal Laurent polynomials and strong moment theory: A survey
• Gaussian quadrature rules and numerical examples for strong extensions of mass distribution functions
• Quadrature on the half line and two-point Padé approximants to Stieltjes functions. III: The unbounded case
• Quadrature on the half-line and two-point Padé approximants to Stieltjes functions. I. Algebraic aspects
• Associated symmetric quadrature rules
• Symmetric Orthogonal Polynomials and the Associated Orthogonal L-Polynomials
• \(d\)-fold Hermite-Gauss quadrature
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