Properties of the Zeros of the Sum of two Polynomials

DOI10.1080/14029251.2013.854093zbMath1420.26011OpenAlexW4231616567MaRDI QIDQ5230898

Francesco Calogero

Publication date: 29 August 2019

Published in: Journal of Nonlinear Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/14029251.2013.854093

zbMATH Keywords

zeros of polynomials``Goldfish many-body problem

Mathematics Subject Classification ID

Real polynomials: location of zeros (26C10) (n)-body problems (70F10)

Related Items (5)

An approach for obtaining integrable Hamiltonians from Poisson-commuting polynomial families ⋮ Properties of the zeros of the polynomials belonging to the Askey scheme ⋮ Properties of the zeros of the polynomials belonging to the \(q\)-Askey scheme ⋮ Sums of random polynomials with independent roots ⋮ Properties of the zeros of the sum of three polynomials

Cites Work

• Unnamed Item
• On the Zeros of Polynomials Satisfying Certain Linear Second-Order ODEs Featuring Many Free Parameters
• Isochronous Systems
• The neatest many-body problem amenable to exact treatments (a ``goldfish?)

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