Inscribed ellipses and Blaschke products

DOI10.1007/s40315-013-0037-8zbMath1291.30040OpenAlexW2043303742MaRDI QIDQ2435435

Masayo Fujimura

Publication date: 19 February 2014

Published in: Computational Methods and Function Theory (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s40315-013-0037-8

zbMATH Keywords

ellipseBlaschke productenvelopecomplex analysis

Mathematics Subject Classification ID

Conformal mappings of special domains (30C20) Blaschke products (30J10)

Related Items (14)

Reducibility of the ternary forms of unitary bordering matrices ⋮ Ellipses and compositions of finite Blaschke products ⋮ Interior and exterior curves of finite Blaschke products ⋮ Finite Blaschke products and the golden ratio ⋮ Poncelet-Darboux, Kippenhahn, and Szegő: interactions between projective geometry, matrices and orthogonal polynomials ⋮ Poncelet's theorem, paraorthogonal polynomials and the numerical range of compressed multiplication operators ⋮ Blaschke products and circumscribed conics ⋮ Decomposable Blaschke products of degree 2ⁿ ⋮ Numerical range and compressions of the shift ⋮ Möbius transformations and Blaschke products: the geometric connection ⋮ Curves of geodesic centers and Poncelet ellipses ⋮ On foci of ellipses inscribed in cyclic polygons ⋮ Norms of truncated Toeplitz operators and numerical radii of restricted shifts ⋮ The complex geometry of Blaschke products of degree 3 and associated ellipses

Cites Work

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• Poncelet's theorem, Sendov's conjecture, and Blaschke products
• Polygons and Numerical Ranges
• Polynomials, Ellipses, and Matrices: Two Questions, One Answer
• How Conics Govern Mobius Transformations
• Ellipses and Finite Blaschke Products
• Sufficient Conditions for Poncelet Polygons Not to Close

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