On the Schur-Szegő composition of polynomials

DOI10.1016/j.crma.2006.06.007zbMath1127.30004arXivmath/0605377OpenAlexW1969088561MaRDI QIDQ2499732

Boris Zalmanovich Shapiro, Vladimir Petrov Kostov

Publication date: 14 August 2006

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

Full work available at URL: https://arxiv.org/abs/math/0605377

zbMATH Keywords

roots of polynomialshyperbolic polynomialsSchur-Szegő composition of polynomialsmultiplicity of roots

Mathematics Subject Classification ID

Polynomials in general fields (irreducibility, etc.) (12E05) 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) Special polynomials in general fields (12E10) Polynomials and rational functions of one complex variable (30C10)

Related Items (8)

Schur-Szegő composition of entire functions ⋮ A realization theorem in the context of the Schur-Szegő composition ⋮ Analytic closure of sets of real hyperbolic polynomials with separated roots ⋮ A refined realization theorem in the context of the Schur-Szegő composition ⋮ The Schur-Szegö composition for hyperbolic polynomials ⋮ On multiplier sequences ⋮ The Schur-Szegö composition for real polynomials ⋮ A mapping connected with the Schur-Szegő composition

Cites Work

• Multiplier sequences for fields
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