Positivity of continued fractions associated with rational Stieltjes moment problems

DOI10.1216/rmjm/1181069969zbMath1053.30005OpenAlexW2141537169MaRDI QIDQ1425669

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

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/1181069969

zbMATH Keywords

continued fractionmulti-point Padé approximationMP-fractionmulti-point Stieltjes problem

Mathematics Subject Classification ID

Padé approximation (41A21) Continued fractions; complex-analytic aspects (30B70)

Related Items (2)

Orthogonal rational functions on the real half line with poles in \([-\infty,0\)] ⋮ Foreword to the proceedings of the OrthoQuad 2014 conference

Cites Work

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• Continued fractions associated with trigonometric and other strong moment problems
• Continued fractions with applications
• Rational approximations corresponding to Newton series (Newton-Padé approximants)
• Orthogonal rational functions with poles on the unit circle
• A rational moment problem on the unit circle
• A rational Stieltjes moment problem.
• Generalized orthogonality and continued fractions
• A Favard theorem for rational functions
• Positive multipoint Padé continued fractions
• Continued Fractions which Correspond to Power Series Expansions at Two Points
• Determinacy of a rational moment problem

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