An Inversion Formula for Multivariate Power Series

Abstract

For formal multivariate power series $\phi (x)$ an inversion formula of the form $${\phi }^{-1}(x)=x+\sum _{m=1}^{\infty }\sum _{k=0}^m(-1{)}^k(mk){\phi }^{\circ k}(x)isoffered$$.

References in corpus (1)

• A matrix representation of composition of polynomial maps

Cited by in corpus (1)

• A particular case of the Jacobian conjecture