%0 Journal Article
%T A ridiculously simple and explicit implicit function theorem
%A Alan D. Sokal
%J Mathematics
%D 2009
%I arXiv
%X I show that the general implicit-function problem (or parametrized fixed-point 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.
%U http://arxiv.org/abs/0902.0069v1