In mathematics, Cohn's theorem states that a nth-degree self-inversive polynomial p ( z ) {\displaystyle p(z)} has as many roots in the open unit disk D = { z ∈ C : | z | < 1 } {\displaystyle D=\{z\in \mathbb {C} :|z|<1\}} as the reciprocal polynomial of its derivative. Cohn's theorem is useful for studying the distribution of the roots of self-inversive and self-reciprocal polynomials in the complex plane.
In mathematics, Cohn's theorem states that a nth-degree self-inversive polynomial p ( z ) {\displaystyle p(z)} has as many roots in the open unit disk D = { z ∈ C : | z | < 1 } {\displaystyle D=\{z\in \mathbb {C} :|z|<1\}} as the reciprocal polynomial of its derivative. Cohn's theorem is useful for studying the distribution of the roots of self-inversive and self-reciprocal polynomials in the complex plane.
Source: Wikipedia "Cohn's theorem" · CC BY-SA 4.0
Share this article: X · Bluesky