Loci of complex polynomials, part I

DOI10.1090/S0002-9947-2014-06178-3zbMath1298.30005MaRDI QIDQ3190796

Hristo S. Sendov, Blagovest Sendov

Publication date: 19 September 2014

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

zbMATH Keywords

zeros of polynomialspolynomials in the complex plane

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 (11)

Geometric relations between the zeros of polynomials ⋮ Stronger Rolle’s Theorem for Complex Polynomials ⋮ Two Walsh-Type Theorems for the Solutions of Multi-Affine Symmetric Polynomials ⋮ Coninvolutory matrices, multi-affine polynomials, and invariant circles ⋮ A relative Grace Theorem for complex polynomials ⋮ Complex multi-affine polynomials and invariant circles ⋮ Further strengthening of Rolle's theorem for complex polynomials ⋮ Refinements of the Gauss-Lucas theorem using rational lemniscates and polar convexity ⋮ On loci of complex polynomials of degree three ⋮ Some geometric properties of the solutions of complex multi-affine polynomials of degree three ⋮ Duality between loci of complex polynomials and the zeros of polar derivatives

Cites Work

• Unnamed Item
• Multivariate stable polynomials: theory and applications

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