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Closed-form solution of polynomial equations

2018/04/02 by Alexander Kheyfits, Kheyfits, Alexander
Computer Science · Mathematics · #12D10 #12E12 #97H30 #Classical Analysis and ODEs (math.CA) #Complex Variables (math.CV) #FOS: Mathematics #Mathematics and Applications #Numerical Methods and Algorithms #Polynomial and algebraic computation #math.CA #math.CV #msc:12D10 #msc:12E12 #msc:97H30

paper · pdf · doi:10.48550/arxiv.1804.00698

6 pages, Version 2

openalex publication_date 2018/04/02 · arxiv created 2018/04/29 · arxiv updated 2018/05/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

Integral Cauchy theorem is used to derive closed-form expressions of the roots of a univariate polynomial of any degree as integrals of elementary functions.

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