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Bibliographic Details
Main Author: Carlos Arteaga
Format: Artículo científico
Language:en
Published: Academia Brasileira de Ciências 2012
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Online Access:https://www.redalyc.org/articulo.oa?id=32721622002
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  • A note on the connectedness locus of the families of polynomials Pc(z)=zn - czn-j Carlos Arteaga Alexandre Alves Multidisciplinaria (Ciencias Naturales y Exactas) Julia set connectedness locus principal components hyperbolic components Let j be a positive integer. For each integer n > j we consider the connectedness locus Mn of the family of polynomials Pc Hausdorff topology, where D is the unitary closed disk {c; |c| ≤ 1}.z) = zn− cz n−j, where c is a complex parameter. We prove that limn!1 Mn = D in the Hausdorff topology, where D is the unitary closed disk {c; |c| ≤ 1}. 2012 artículo científico 0001-3765 https://www.redalyc.org/articulo.oa?id=32721622002 en http://www.redalyc.org/revista.oa?id=327 Anais da Academia Brasileira de Ciências application/pdf Academia Brasileira de Ciências Anais da Academia Brasileira de Ciências (Brasil) Num.1 Vol.84