## Good Computer Package for Calculating Inverse of a Formal Power Series?

Hello Everyone,

This might be a question people already asked or is obvious to experts, or is not appropriate for this forum, if so, I apologize. I am trying to calculate things like $z/(e^z-1)$, or find the inverse of $x=z+ 2z+5z^2+\cdots$, expand as power series. What is the best (or favorite) software package you use to do stuff like this?

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reference.wolfram.com/mathematica/ref/… – Carlo Beenakker Nov 3 at 19:12
Sage can do it: sagemath.org. (Search hint: finding the inverse function of a power series is called "Lagrange inversion", or sometimes "reversion".) – Tom Leinster Nov 3 at 20:04
Probably every symbolic algebra package that handles power series can do it. Maple has several ways, such as the function reversion in the powseries package and the solve/series function. – Brendan McKay Nov 3 at 23:49
Pari/GP's serreverse(). – Pasha Zusmanovich Nov 6 at 16:47
In flint library (flintlib.org) there's a bunch of functions for computing inverse series in different fields. For example, fmpz_poly_inv_series – Anton Apr 3 at 2:16
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