A Ridiculously Simple and Explicit Implicit Function Theorem

نویسندگان

  • Alan D. Sokal
  • Pierre Leroux
چکیده

I show that the general implicit-function problem (or parametrized fixedpoint problem) in one complex variable has an explicit series solution given by a trivial generalization of the Lagrange inversion formula. I give versions of this formula for both analytic functions and formal power series.

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تاریخ انتشار 2009