A contraction of the Lucas polygon

DOI10.1090/S0002-9939-04-07231-4zbMath1050.30006OpenAlexW1624841053MaRDI QIDQ4813722

Branko Ćurgus, Vania Mascioni

Publication date: 13 August 2004

Published in: Proceedings of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1090/s0002-9939-04-07231-4

zbMATH Keywords

Lucas polygon

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)

Related Items (10)

\(M\)-addition ⋮ On a convex operator for finite sets ⋮ The flow of polynomial roots under differentiation ⋮ A STABILITY VERSION OF THE GAUSS–LUCAS THEOREM AND APPLICATIONS ⋮ Pairing between zeros and critical points of random polynomials with independent roots ⋮ Refinements of the Gauss-Lucas theorem using rational lemniscates and polar convexity ⋮ 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

• On the location of critical points of polynomials
• A refinement of the Gauss-Lucas theorem
• The Location of the Zeros of the Derivative of a Polynomial
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