Leaky roots and stable Gauss-Lucas theorems

DOI10.1080/17476933.2019.1571051zbMath1429.30013arXiv1810.03050OpenAlexW2963718649WikidataQ127946376 ScholiaQ127946376MaRDI QIDQ5231360

Trevor J. Richards, Stefan Steinerberger

Publication date: 26 August 2019

Published in: Complex Variables and Elliptic Equations (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1810.03050

zbMATH Keywords

rootspolynomialscritical pointsGauss-Lucas theorem

Mathematics Subject Classification ID

Zeros of polynomials, rational functions, and other analytic functions of one complex variable (e.g., zeros of functions with bounded Dirichlet integral) (30C15) Polynomials and rational functions of one complex variable (30C10)

Related Items (3)

Some recent results on the geometry of complex polynomials: the Gauss-Lucas theorem, polynomial lemniscates, shape analysis, and conformal equivalence ⋮ Critical points of polynomials ⋮ Rouché’s theorem and the geometry of rational functions

Cites Work

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