On some properties of the Abel–Goncharov polynomials and the Casas-Alvero problem

DOI10.1080/10652469.2016.1167689zbMath1350.41007OpenAlexW2325997920MaRDI QIDQ2816574

Semyon B. Yakubovich

Publication date: 23 August 2016

Published in: Integral Transforms and Special Functions (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/10652469.2016.1167689

zbMATH Keywords

Abel-Goncharov interpolation polynomialsCasas-Alvero problem

Mathematics Subject Classification ID

Polynomial rings and ideals; rings of integer-valued polynomials (13F20) Polynomials in real and complex fields: location of zeros (algebraic theorems) (12D10) Interpolation in approximation theory (41A05) Real polynomials: analytic properties, etc. (26C05)

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Cites Work

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• The Casas-Alvero conjecture for infinitely many degrees
• The Gontcharoff polynomials
• A Conjectured Analogue of Rolle's Theorem for Polynomials with Real or Complex Coefficients
• Matrix Analysis
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• Higher order polar germs