Borcea’s Variance Conjectures on the Critical Points of Polynomials

DOI10.1007/978-3-0348-0142-3_16zbMath1291.30036arXiv1010.5167OpenAlexW2113848637MaRDI QIDQ2911830

Dmitry Khavinson, Rajesh Pereira, Mihai Putinar, Serguei Shimorin, Edward B. Saff

Publication date: 3 September 2012

Published in: Notions of Positivity and the Geometry of Polynomials (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1010.5167

zbMATH Keywords

Cauchy transformcritical pointToeplitz matrixvarianceHausdorff distanceChebyshev radiusdifferentiatorSendov conjecture

Mathematics Subject Classification ID

Inequalities involving eigenvalues and eigenvectors (15A42) Zeros of polynomials, rational functions, and other analytic functions of one complex variable (e.g., zeros of functions with bounded Dirichlet integral) (30C15) Polynomials in real and complex fields: location of zeros (algebraic theorems) (12D10) Real polynomials: location of zeros (26C10) Polynomials and rational functions of one complex variable (30C10) Toeplitz, Cauchy, and related matrices (15B05)

Related Items (4)

Circulants and critical points of polynomials ⋮ Upper bounds for the number of isolated critical points via the Thom-Milnor theorem ⋮ Iterated integrals and Borwein-Chen-Dilcher polynomials ⋮ Rouché’s theorem and the geometry of rational functions

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