Orthogonal rational functions on the real half line with poles in \([-\infty,0]\) (Q1779437)
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scientific article; zbMATH DE number 2173191
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Orthogonal rational functions on the real half line with poles in \([-\infty,0]\) |
scientific article; zbMATH DE number 2173191 |
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Orthogonal rational functions on the real half line with poles in \([-\infty,0]\) (English)
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1 June 2005
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The authors generalize their results on orthogonal rational functions and derive recurrence relations, analogues of Christoffel-Darboux formulas, Gauss-type quadrature formulas, properties of recurrence coefficients and of approximants to related continued fractions, and study the rational moment problem under appropriate conditions. The generalization consists in the possibility to consider poles at \(\infty.\) Main results are for the so-called Stieltjes situation (the support of the orthogonality measure is in \([0,\infty)\) and poles of the rational functions are in \([-\infty,0]).\)
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orthogonal rational functions
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rational Stieltjes moment problem
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quadrature formulas
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