Location of the critical points of certain polynomials
Somjate Chaiya, Aimo Hinkkanen (2013)
Annales Universitatis Mariae Curie-Sklodowska, sectio A – Mathematica
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Let denote the unit disk in the complex plane . In this paper, we study a family of polynomials with only one zero lying outside . We establish criteria for to satisfy implying that each of and has exactly one critical point outside .