A ridiculously simple and explicit implicit function theorem
classification
🧮 math.CV
math.CO
keywords
explicitformulaproblemseriesanalyticcomplexfixed-pointformal
read the original abstract
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.
This paper has not been read by Pith yet.
discussion (0)
Sign in with ORCID, Apple, or X to comment. Anyone can read and Pith papers without signing in.