Descartes' rule of signs, canonical sign patterns and rigid orders of moduli

Autor:	Kostov, Vladimir Petrov
Rok vydání:	2021
Předmět:	Mathematics - Classical Analysis and ODEs
Zdroj:	Which Sign Patterns are Canonical?. Results Math 77 (2022) No 6, paper 235
Druh dokumentu:	Working Paper
Popis:	We consider real polynomials in one variable without vanishing coefficients and with all roots real and of distinct moduli. We show that the signs of the coefficients define the order of the moduli of the roots on the real positive half-line exactly when no four consecutive signs of coefficients equal $(+,+,-,-)$, $(-,-,+,+)$, $(+,-,-,+)$ or $(-,+,+,-)$.
Databáze:	arXiv
Externí odkaz:	http://arxiv.org/abs/2103.04758 Zobrazit plný text záznamu View this record from Arxiv