An Inversion Formula for Multivariate Power Series

Details An Inversion Formula for Multivariate Power Series An Inversion Formula for Multivariate Power Series

2012-03-17

arxiv.org/abs/1203.3834v1

Mathematics

Algebraic Geometry

Scientific paper

For formal multivariate power series $\varphi(x)$ an inversion formula of the
form $$ \varphi^{-1}(x)=x +\sum_{m=1}^{\infty}\sum_{k=0}^m (-1)^k(m
k)\varphi^{\circ k}(x) is offered$$.

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