Multiplicity of zeros of polynomials

Sharp bounds are given for the highest multiplicity of zeros of polynomials in terms of their norm on Jordan curves and arcs. The results extend a theorem of Erdos and Turan and solve a problem of them from 1940.

Elmentve itt :
Bibliográfiai részletek
Szerző: Totik Vilmos
Dokumentumtípus: Cikk
Megjelent: 2021
Sorozat:JOURNAL OF APPROXIMATION THEORY 267
Tárgyszavak:
doi:10.1016/j.jat.2021.105594

mtmt:32360730
Online Access:http://publicatio.bibl.u-szeged.hu/23760
Leíró adatok
Tartalmi kivonat:Sharp bounds are given for the highest multiplicity of zeros of polynomials in terms of their norm on Jordan curves and arcs. The results extend a theorem of Erdos and Turan and solve a problem of them from 1940.
Terjedelem/Fizikai jellemzők:Terjedelem: 19-Azonosító: 105594
ISSN:0021-9045