The Gauss–Lucas theorem in an asymptotic sense

DOI10.1112/blms/bdw047zbMath1359.26018OpenAlexW2521944477MaRDI QIDQ2830657

Vilmos Totik

Publication date: 28 October 2016

Published in: Bulletin of the London Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1112/blms/bdw047

zbMATH Keywords

polynomialslocation of zeros

Mathematics Subject Classification ID

Real polynomials: location of zeros (26C10)

Related Items (10)

The flow of polynomial roots under differentiation ⋮ A STABILITY VERSION OF THE GAUSS–LUCAS THEOREM AND APPLICATIONS ⋮ Critical points of orthogonal polynomials ⋮ Some recent results on the geometry of complex polynomials: the Gauss-Lucas theorem, polynomial lemniscates, shape analysis, and conformal equivalence ⋮ Critical points of polynomials ⋮ Distribution of critical points of polynomials ⋮ Leaky roots and stable Gauss-Lucas theorems ⋮ A nonlocal transport equation describing roots of polynomials under differentiation ⋮ Sector Analogue of the Gauss–Lucas Theorem ⋮ A nonlocal transport equation modeling complex roots of polynomials under differentiation

Cites Work

• Differentiators and the geometry of polynomials.
• Inverse spectral problem for normal matrices and the Gauss-Lucas theorem
• Unnamed Item

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