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Rectangles and Quasiconformal Mappings.

Aimo Hinkkanen — 1983

Mathematische Zeitschrift

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 $\bar{𝔻}$ .

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