Two Walsh-Type Theorems for the Solutions of Multi-Affine Symmetric Polynomials

Blagovest Sendov () and Hristo Sendov ()
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Blagovest Sendov: Institute of Information and Communication Technologies
Hristo Sendov: Western University

A chapter in Progress in Approximation Theory and Applicable Complex Analysis, 2017, pp 145-162 from Springer

Abstract: Abstract The spirit of the classical Grace-Walsh-Szegő coincidence theorem states that if there is a solution of a multi-affine symmetric polynomial in a domain with certain properties, then in it there exists another solution with other properties. We present two results in the same spirit, which may be viewed as extensions of the Grace-Walsh-Szegő result.

Keywords: Grace-Walsh-Szegő coincidence theorem; Zeros and critical points of polynomials; Apolarity; Locus of a polynomial; Locus holder; Primary; 30C10 (search for similar items in EconPapers)
Date: 2017
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Persistent link: https://EconPapers.repec.org/RePEc:spr:spochp:978-3-319-49242-1_8

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DOI: 10.1007/978-3-319-49242-1_8

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