Zeros of a one-parameter family of harmonic trinomials

DOI10.1090/bproc/51zbMath1453.31003OpenAlexW3036912580MaRDI QIDQ5130031

Michael Dorff, Lisbeth E. Schaubroeck, Russell W. Howell, Jennifer Halfpap, Michael A. Brilleslyper

Publication date: 3 November 2020

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

Full work available at URL: https://doi.org/10.1090/bproc/51

zbMATH Keywords

zeroscomplex harmonic polynomials

Mathematics Subject Classification ID

Harmonic, subharmonic, superharmonic functions in two dimensions (31A05) 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 (4)

Zeros of a family of complex-valued harmonic trinomials ⋮ On the number of roots for harmonic trinomials ⋮ Corrigendum to: ``On the number of roots for harmonic trinomials ⋮ Location of the zeros of harmonic trinomials

Cites Work

• Locating trinomial zeros
• Geometry of trinomials
• The exact bound on the number of zeros of harmonic polynomials
• Locating Unimodular Roots
• Remarks on Wilmshurst's theorem
• The valence of harmonic polynomials
• Counting Interior Roots of Trinomials
• Harmonic univalent functions
• On the number of zeros of certain harmonic polynomials
• The Argument Principle for Harmonic Functions
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