I am having a problem with the Mathematica InverseSeries
command.
Looking at the information page here, we have the following example;
InverseSeries[x^2 + 3 x^4 + O[x]^8]
With output $\sqrt{x}-\frac{3 x^{3/2}}{2}+\frac{63 x^{5/2}}{8}+O\left(x^{15/2}\right)$. This works fine for me. They then invert this expression again;
InverseSeries[%]
Which outputs $x^2+3 x^4+O(x)^8$, as one would expect. However when I run these commands I simply get;
InverseSeries[x^2+3x^4+O[x]^8]
Sqrt[x]-(3 x^(3/2))/2+(63 x^(5/2))/8+O[x]^(15/2)
InverseSeries[%]
InverseSeries[(x-(3 x^3)/2+(63 x^5)/8)+O[x]^28,x]^2
I don;t have a heap of experience with mathematica, but I have noticed similar behaviour when I have inputted expressions incorrectly. Here thoguh I am literally copy and pasting from the examples webpage.
Any help would be much appreciated, thanks!
x^2 + 3x^4 + O[x]^7
$\endgroup$