Advanced Search

Match of the following rules

Add Sub-clause

Add Another Rule

Contains the following math formula (red border means the formula is incomplete)

Formula preview

Currently displaying 1 – 2 of 2

Order by Relevance | Title | Year of publication

Location of the critical points of certain polynomials

Somjate Chaiya; Aimo Hinkkanen — 2013

Annales UMCS, Mathematica

Let D¯ denote the unit disk {z : |z| < 1} in the complex plane C. In this paper, we study a family of polynomials P with only one zero lying outside D¯. We establish criteria for P to satisfy implying that each of P and P' has exactly one critical point outside D¯.

Location of the critical points of certain polynomials

Somjate Chaiya; Aimo Hinkkanen — 2013

Annales Universitatis Mariae Curie-Skłodowska, sectio A – Mathematica

Let $𝔻$ denote the unit disk ${z : | z | < 1}$ in the complex plane $ℂ$ . In this paper, we study a family of polynomials $P$ with only one zero lying outside $\bar{𝔻}$ . We establish criteria for $P$ to satisfy implying that each of $P$ and $P^{'}$ has exactly one critical point outside $\bar{𝔻}$ .

Page 1

Download Results (CSV)