Schur-Szegö Composition of Small Degree Polynomials

Kostov, Vladimir Petrov. "Schur-Szegö Composition of Small Degree Polynomials." Serdica Mathematical Journal 40.2 (2014): 111-128. <http://eudml.org/doc/295003>.

@article{Kostov2014,
abstract = {[Kostov Vladimir Petrov; Костов Владимир Петров]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.},
author = {Kostov, Vladimir Petrov},
journal = {Serdica Mathematical Journal},
keywords = {real polynomial; composition of Schur-Szegö; real (positive/negative) root},
language = {eng},
number = {2},
pages = {111-128},
publisher = {Institute of Mathematics and Informatics at the Bulgarian Academy of Sciences},
title = {Schur-Szegö Composition of Small Degree Polynomials},
url = {http://eudml.org/doc/295003},
volume = {40},
year = {2014},
}

TY - JOUR
AU - Kostov, Vladimir Petrov
TI - Schur-Szegö Composition of Small Degree Polynomials
JO - Serdica Mathematical Journal
PY - 2014
PB - Institute of Mathematics and Informatics at the Bulgarian Academy of Sciences
VL - 40
IS - 2
SP - 111
EP - 128
AB - [Kostov Vladimir Petrov; Костов Владимир Петров]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.
LA - eng
KW - real polynomial; composition of Schur-Szegö; real (positive/negative) root
UR - http://eudml.org/doc/295003
ER -