Thanks, William!

I guess so far it only works over Q?

--Matt



On Dec 7, 7:43 pm, William Stein <wst...@gmail.com> wrote:
> 2009/12/7 Matt Bainbridge <bainbridge.m...@gmail.com>:
>
> > Hi there,
>
> > Does anyone know if Sage has a function for computing the composition
> > inverse of a power series (not the reciprocal)?
>
> Yep, we have that:
>
> sage: R.<x> = QQ[[]]
> sage: f = 1/(1-x) - 1; f
> x + x^2 + x^3 + x^4 + x^5 + x^6 + x^7 + x^8 + x^9 + x^10 + x^11 + x^12
> + x^13 + x^14 + x^15 + x^16 + x^17 + x^18 + x^19 + O(x^20)
> sage: g = f.reversion(); g
> x - x^2 + x^3 - x^4 + x^5 - x^6 + x^7 - x^8 + x^9 - x^10 + x^11 - x^12
> + x^13 - x^14 + x^15 - x^16 + x^17 - x^18 + x^19 + O(x^20)
> sage: f(g)
> x + O(x^20)
>
> > --Matt
>
> > P.S. Just started using sage and finding it very useful.  Thanks for
> > developing it.
>
> > --
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>
> --
> William Stein
> Associate Professor of Mathematics
> University of Washingtonhttp://wstein.org

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