Wolfram Language & System 10.3 (2015)|Legacy Documentation

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gives an approximation of the Böttcher function of z, which maps the complement of the Julia set conformally to the complement of the closed unit disk.

Details and OptionsDetails and Options

  • The Julia set of a function f is the closure of the set of all repelling fixed points of f.
  • The Böttcher function is given by .
  • With the option MaxIterations->m, the sequence will be iterated at most m times to approximate .
  • The default setting is MaxIterations->100.
Introduced in 2014