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Title: Schur-Szegö Composition of Small Degree Polynomials
Authors: Kostov, Vladimir Petrov
Keywords: real polynomial
composition of Schur-Szegö
real (positive/negative) root
Issue Date: 2014
Publisher: Institute of Mathematics and Informatics at the Bulgarian Academy of Sciences
Citation: Serdica Mathematical Journal, Vol. 40, No 2, (2014), 111p-128p
Abstract: We consider real polynomials in one variable without root at 0 and without multiple roots. Given the numbers of the positive, negative and complex roots of two such polynomials, what can be these numbers for their composition of Schur-Szegö? We give the exhaustive answer to the question for degree 2, 3 and 4 polynomials and also in the case when the degree is arbitrary, the composed polynomials being with all roots real, and one of the polynomials having all roots but one of the same sign. 2010 Mathematics Subject Classification: 12D10.
Description: [Kostov Vladimir Petrov; Костов Владимир Петров]
ISSN: 1310-6600
Appears in Collections:Volume 40, Number 2

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