Critical points of polynomials

This paper is devoted to the problem of where the critical points of a polynomial are relative to their zeros. Classical and new developments are surveyed along with illustrative examples. The paper finishes with a short proof of the sector theorem of Sendov and Sendov.

Elmentve itt :
Bibliográfiai részletek
Szerző: Totik Vilmos
Dokumentumtípus: Cikk
Megjelent: 2021
Sorozat:ACTA MATHEMATICA HUNGARICA 164 No. 2
Tárgyszavak:
doi:10.1007/s10474-021-01133-x

mtmt:32371992
Online Access:http://publicatio.bibl.u-szeged.hu/23761
Leíró adatok
Tartalmi kivonat:This paper is devoted to the problem of where the critical points of a polynomial are relative to their zeros. Classical and new developments are surveyed along with illustrative examples. The paper finishes with a short proof of the sector theorem of Sendov and Sendov.
Terjedelem/Fizikai jellemzők:499-517
ISSN:0236-5294