Hello,

On Thu, 24 Feb 2011 09:58:59 +0300
"Alexey U. Gudchenko" <[email protected]> wrote:

> And I have some little question about Laurent.
> 
> exp(1/x).series(x, oo) = 1 + 1/x + 1/(2*x**2) ...
> 
> Is it Laurent or power series?

In my use of maths language, this is a Laurent series as negative
powers of x contribute. Power series (or, in this case, Taylor series)
contain only exponents in [0; oo). So I would call this expansion a
Laurent series about the point x=oo.

Quickly browsing through the Mathematica 8 documentation, it seems that
Mathematica does not offer more much functionality than SymPy does (or
will do with that Series branch). The documentation also is fuzzy about
terminology. It describes that Series[] gives a series that may be a
(truncated ) Taylor series or another, more general type of series with
generalized powers (such as fractional powers). I haven't found a
command to explicitly generate Laurent series.

Cheers

Alex

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