Location of the critical points of certain polynomials

ArticleOriginal scientific text

Title

Authors ,

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

\overset{―}{D}

. We establish criteria for

P

to satisfy implying that each of

P

and

P^{'}

has exactly one critical point outside

\overset{―}{D}

.

Polynomial, critical point, anti-reciprocal.

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