# On Arrangements of Real Roots of a Real Polynomial and Its Derivatives

Serdica Mathematical Journal (2003)

- Volume: 29, Issue: 1, page 65-74
- ISSN: 1310-6600

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topKostov, Vladimir. "On Arrangements of Real Roots of a Real Polynomial and Its Derivatives." Serdica Mathematical Journal 29.1 (2003): 65-74. <http://eudml.org/doc/219514>.

@article{Kostov2003,

abstract = {2000 Mathematics Subject Classification: 12D10.We prove that all arrangements (consistent with the Rolle theorem and some other natural restrictions) of the real roots of a real polynomial and of its s-th derivative are realized by real polynomials.},

author = {Kostov, Vladimir},

journal = {Serdica Mathematical Journal},

keywords = {Arrangement of Roots; arrangements of roots of real polynomials; theorem of Rolle},

language = {eng},

number = {1},

pages = {65-74},

publisher = {Institute of Mathematics and Informatics Bulgarian Academy of Sciences},

title = {On Arrangements of Real Roots of a Real Polynomial and Its Derivatives},

url = {http://eudml.org/doc/219514},

volume = {29},

year = {2003},

}

TY - JOUR

AU - Kostov, Vladimir

TI - On Arrangements of Real Roots of a Real Polynomial and Its Derivatives

JO - Serdica Mathematical Journal

PY - 2003

PB - Institute of Mathematics and Informatics Bulgarian Academy of Sciences

VL - 29

IS - 1

SP - 65

EP - 74

AB - 2000 Mathematics Subject Classification: 12D10.We prove that all arrangements (consistent with the Rolle theorem and some other natural restrictions) of the real roots of a real polynomial and of its s-th derivative are realized by real polynomials.

LA - eng

KW - Arrangement of Roots; arrangements of roots of real polynomials; theorem of Rolle

UR - http://eudml.org/doc/219514

ER -

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