Rouché’s theorem and the geometry of rational functions

DOI10.1090/PROC/15118zbMath1490.30002arXiv1906.05262OpenAlexW3015978129MaRDI QIDQ5027194

Trevor J. Richards

Publication date: 4 February 2022

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

Full work available at URL: https://arxiv.org/abs/1906.05262

zbMATH Keywords

critical pointsrational functionsRouché's theoremzeros and poles

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

• Borcea’s Variance Conjectures on the Critical Points of Polynomials
• Leaky roots and stable Gauss-Lucas theorems
• Unnamed Item

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