A note on the connectedness locus of the families of polynomials Pc(z)=z n - cz n-j
Let j be a positive integer. For each integer n > j we consider the connectedness locus Mn of the family of polynomials Pc(z) = z n - cz n-j, where c is a complex parameter. We prove that lim n→∞ Mn = D in the Hausdorff topology, where D is the unitary closed disk {c;|c|<1}.
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| Main Authors: | , |
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| Format: | Digital revista |
| Language: | English |
| Published: |
Academia Brasileira de Ciências
2012
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| Online Access: | http://old.scielo.br/scielo.php?script=sci_arttext&pid=S0001-37652012000100002 |
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