Orthogonal rational functions on the real half line with poles in \([-\infty,0]\)

DOI10.1016/j.cam.2004.09.038zbMath1068.42022OpenAlexW1980216949MaRDI QIDQ1779437

Adhemar Bultheel, Erik Hendriksen, Pablo González-Vera, Olav Njåstad

Publication date: 1 June 2005

Published in: Journal of Computational and Applied Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.cam.2004.09.038

zbMATH Keywords

quadrature formulasorthogonal rational functionsrational Stieltjes moment problem

Mathematics Subject Classification ID

Orthogonal functions and polynomials, general theory of nontrigonometric harmonic analysis (42C05) Numerical quadrature and cubature formulas (65D32)

Related Items (8)

Orthogonality and recurrence for ordered Laurent polynomial sequences ⋮ Growth properties of Nevanlinna matrices for rational moment problems ⋮ Natural solutions of rational Stieltjes moment problems ⋮ A generalized eigenvalue problem for quasi-orthogonal rational functions ⋮ An extension of the associated rational functions on the unit circle ⋮ Rational functions with a general distribution of poles on the real line orthogonal with respect to varying exponential weights. I ⋮ Foreword to the proceedings of the OrthoQuad 2014 conference ⋮ Holomorphic functions associated with indeterminate rational moment problems

Cites Work

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• Positivity of continued fractions associated with rational Stieltjes moment problems
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• Quadrature on the half-line and two-point Padé approximants to Stieltjes functions. I. Algebraic aspects
• Extremal solutions of the strong Stieltjes moment problem
• Convergence of two-point Padé approximants to series of Stieltjes
• A Strong Stieltjes Moment Problem
• Determinacy of a rational moment problem

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