A ridiculously simple and explicit implicit function theorem - Mathematics > Complex VariablesReport as inadecuate




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Abstract: I show that the general implicit-function problem or parametrizedfixed-point problem in one complex variable has an explicit series solutiongiven by a trivial generalization of the Lagrange inversion formula. I giveversions of this formula for both analytic functions and formal power series.



Author: Alan D. Sokal

Source: https://arxiv.org/



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