Zeros of harmonic polynomials with complex coefficients

DOI10.4064/cm7874-4-2021zbMath1486.30016OpenAlexW3211649760MaRDI QIDQ5066083

Chahrazed Harrat

Publication date: 29 March 2022

Published in: Colloquium Mathematicum (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.4064/cm7874-4-2021

zbMATH Keywords

zerospolynomialsharmonic functions

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)

Cites Work

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• Zeros of harmonic polynomials, critical lemniscates, and caustics
• The number of roots of a system of equations
• A generalization of the argument principle
• Remarks on Wilmshurst's theorem
• The valence of harmonic polynomials
• On the number of zeros of certain harmonic polynomials
• Sharp bounds for the valence of certain harmonic polynomials

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