# On Root Arrangements of Polynomial-Like Functions and their Derivatives

Serdica Mathematical Journal (2005)

- Volume: 31, Issue: 3, page 201-216
- ISSN: 1310-6600

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topKostov, 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 -

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