International Journal of Mathematics and Mathematical Sciences
Volume 29 (2002), Issue 2, Pages 79-84
doi:10.1155/S0161171202010475

Dynamics of Newton's functions of Barna's polynomials

Abstract

We define Barna's polynomials as real polynomials with all real roots of which at least four are distinct. In this paper, we study the dynamics of Newton's functions of such polynomials. We also give the upper and lower bounds of the Hausdorff dimension of exceptional sets of these Newton's functions.