On Root Arrangements of Polynomial-Like Functions and their Derivatives

Kostov, Vladimir. "On Root Arrangements of Polynomial-Like Functions and their Derivatives." Serdica Mathematical Journal 31.3 (2005): 201-216. <http://eudml.org/doc/219588>.

@article{Kostov2005,
abstract = {2000 Mathematics Subject Classification: 12D10.We show that for n = 4 they are realizable either by hyperbolic polynomials of degree 4 or by non-hyperbolic polynomials of degree 6 whose fourth derivatives never vanish (these are a particular case of the so-called hyperbolic polynomial-like functions of degree 4).},
author = {Kostov, Vladimir},
journal = {Serdica Mathematical Journal},
keywords = {Hyperbolic Polynomial; Root Arrangement; Configuration Vector; hyperbolic polynomial; root arrangement; configuration vector; polynomial-like function; Gegenbauer polynomial},
language = {eng},
number = {3},
pages = {201-216},
publisher = {Institute of Mathematics and Informatics Bulgarian Academy of Sciences},
title = {On Root Arrangements of Polynomial-Like Functions and their Derivatives},
url = {http://eudml.org/doc/219588},
volume = {31},
year = {2005},
}

TY - JOUR
AU - Kostov, Vladimir
TI - On Root Arrangements of Polynomial-Like Functions and their Derivatives
JO - Serdica Mathematical Journal
PY - 2005
PB - Institute of Mathematics and Informatics Bulgarian Academy of Sciences
VL - 31
IS - 3
SP - 201
EP - 216
AB - 2000 Mathematics Subject Classification: 12D10.We show that for n = 4 they are realizable either by hyperbolic polynomials of degree 4 or by non-hyperbolic polynomials of degree 6 whose fourth derivatives never vanish (these are a particular case of the so-called hyperbolic polynomial-like functions of degree 4).
LA - eng
KW - Hyperbolic Polynomial; Root Arrangement; Configuration Vector; hyperbolic polynomial; root arrangement; configuration vector; polynomial-like function; Gegenbauer polynomial
UR - http://eudml.org/doc/219588
ER -