The Schur-Szegö composition for hyperbolic polynomials

DOI10.1016/j.crma.2007.10.003zbMath1164.12001OpenAlexW2038052878MaRDI QIDQ2464256

Vladimir Petrov Kostov

Publication date: 12 December 2007

Published in: Comptes Rendus. Mathématique. Académie des Sciences, Paris (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.crma.2007.10.003

zbMATH Keywords

roots of polynomialshyperbolic polynomialsSchur-Szegő composition of polynomialsmultiplicity of roots

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 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)

Related Items

Schur-Szegő composition of entire functions ⋮ A realization theorem in the context of the Schur-Szegő composition ⋮ A refined realization theorem in the context of the Schur-Szegő composition ⋮ The Schur-Szegö composition for real polynomials ⋮ A mapping connected with the Schur-Szegő composition ⋮ Narayana numbers and Schur-Szegő composition

Cites Work

• The Schur-Szegö composition of real polynomials of degree 2
• On arrangements of roots for a real hyperbolic polynomial and its derivatives
• Polynomials. Translated from the second Russian edition by Dimitry Leites.
• On the Schur-Szegő composition of polynomials

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