>
> Thank you, that takes me  a step further. If I formulate the solution for 
> my self I would say: take the symbolic expression, turn it into a 
> polynomial by the method 'polynomial', then turn it into a power series by 
> the proper substitution. That solves my original problem. It is nice to 
> talk to someone about these things!
>

Hopefully I am allowed to ask a next question regarding dealing with power 
series. Suppose I have a power series in x1 and x2: f=x1*x2+O(x^3). If I 
substitute x1=y^2 and x2=y^2 I turn this into a power series in y: g(y) 
=y^4+O(y^6).  Doing this in Sage in the following way: 

R.<x1,x2>=PowerSeriesRing(SR)
Y.<y>=PowerSeriesRing(SR)

f= x1*x2+R.O(3)

g=f.substitute(x1=y^2,x2=y^2);g 

O(y^3)

does not work. Is there a way to make Sage understand that O(x^2)  becomes 
O(y^6) under the substitution x=y^2 (and in general under similar 
substitutions)?

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