摘要

Let j be a positive integer. For each integer n %26gt; j we consider the connectedness locus M-n of the family of polynomials P-c(z) = z(n) - cz(n-j), where c is a complex parameter. We prove that lim(n -%26gt;infinity)M(n) = D in the Hausdorff topology, where D is the unitary closed disk {c; vertical bar c vertical bar %26lt;= 1}.

  • 出版日期2012-3

全文