On foci of ellipses inscribed in cyclic polygons

DOI10.1007/978-3-030-75425-9_12zbMath1498.30032arXiv2101.12638OpenAlexW3128329350MaRDI QIDQ2066116

Brian Simanek, Markus Hunziker, Taylor Poe, Andrei Martínez-Finkelshtein

Publication date: 13 January 2022

Full work available at URL: https://arxiv.org/abs/2101.12638

zbMATH Keywords

orthogonal polynomialsBlaschke productsPoncelet ellipses

Mathematics Subject Classification ID

Other special orthogonal polynomials and functions (33C47) Blaschke products (30J10)

Related Items (1)

Poncelet-Darboux, Kippenhahn, and Szegő: interactions between projective geometry, matrices and orthogonal polynomials

Cites Work

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• Ellipses and compositions of finite Blaschke products
• The numerical range of \(3 \times 3\) matrices
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• Interior and exterior curves of finite Blaschke products
• Blaschke products and circumscribed conics
• Numerical range circumscribed by two polygons
• UB-matrices and conditions for Poncelet polygon to be closed
• Decomposing finite Blaschke products
• Poncelet's theorem, paraorthogonal polynomials and the numerical range of compressed multiplication operators
• Inscribed ellipses and Blaschke products
• Contractions with rank one defect operators and truncated CMV matrices
• Elliptic numerical ranges of \(4\times 4\) matrices
• A characterization of complex plane Poncelet curves
• Poncelet Porisms and Beyond
• Numerical range ofs(φ)
• Sufficient Conditions for Poncelet Polygons Not to Close
• Limits of zeros of orthogonal polynomials on the circle

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