On 08/22/2014 06:40 PM, Waldek Hebisch wrote:
> To get idea of the problem look at expansion of f(x) =
> sin(x+y)/sin(x*y) produced by Maple.  Note: the function above
> mathematically has no Taylor expansion, but g(x) tan(x*y)/sin(x*y)
> has.

I think the problem is more involved. Of course, 1/(x+y) does not have a
power series expansion. Switching to a "multivariate Laurentseries" is a
bit harder than one might expect.

http://www.risc.jku.at/publications/download/risc_4600/main.pdf

Ralf

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