%0 Journal Article
%T A note on the connectedness locus of the families of polynomials Pc(z)=z n - cz n-j
%A Arteaga
%A Carlos
%A Alves
%A Alexandre
%J Anais da Academia Brasileira de Ci¨ºncias
%D 2012
%I Academia Brasileira de Ci¨ºncias
%R 10.1590/S0001-37652012000100002
%X let j be a positive integer. for each integer n > j we consider the connectedness locus mn of the family of polynomials pc(z) = zn - czn-j, where c is a complex parameter. we prove that limn¡ú¡Þ mn = d in the hausdorff topology, where d is the unitary closed disk {c;|c|<1}.
%K julia set
%K connectedness locus
%K hyperbolic components
%K principal components.
%U http://www.scielo.br/scielo.php?script=sci_abstract&pid=S0001-37652012000100002&lng=en&nrm=iso&tlng=en