Schur-Szegö Composition of Small Degree Polynomials
Authors: Kostov, Vladimir Petrov 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.Publisher:
Institute of Mathematics and Informatics, Bulgarian Academy of SciencesSubject: real polynomialcomposition of Schur-Szegöreal (positive/negative) root
Issue Date: 2014
Citation:
Serdica Mathematical Journal, Vol. 40, No 2, (2014), 111p-128p URI:
http://hdl.handle.net/10525/3456
ISSN: 1310-6600
Note:
[Kostov Vladimir Petrov; Костов Владимир Петров]
Language: en
Type: Article