THE HAUSDORFF DIMENSION OF THE BOUNDARY OF THE IMMEDIATE BASIN OF INFINITY OF McMULLEN MAPS

نویسندگان

  • FEI YANG
  • XIAOGUANG WANG
چکیده

In this paper, we give a formula of the Hausdorff dimension of the boundary of the immediate basin of infinity of McMullen maps fp(z) = z Q + p/z, where Q ≥ 3 and p is small. This gives a lower bound of the Hausdorff dimension of the Julia sets of McMullen maps in the special cases.

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تاریخ انتشار 2012