In axiom there is another option:
(1) -> x := 'X::TS FRAC INT; y := 'Y::TS FRAC INT;
Type: TaylorSeries(Fraction(Integer))
(2) -> sin(x+y)
1 3 1 2 1 2 1 3
(2) (Y + X) + (- - Y - - X Y - - X Y - - X ) + O(5)
6 2 2 6
Type: TaylorSeries(Fraction(Integer))
Thanks, Martin. That is exactly the representation with the
(homogeneous) polynomial coefficients I was talking about here...
http://lists.nongnu.org/archive/html/axiom-math/2010-07/msg00003.html
However, currently there is no domain for generalised multivariate
Taylor series.
Could you say, what you actually mean by "generalized multivariate TS"?
Ralf
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