Look at page 181 of
http://www.cs.berkeley.edu/~fateman/macsyma/docs/refman16.pdf
for the description of this from the Macsyma manual.
Good luck.
RJF
On 4/27/2012 1:23 PM, Dan wrote:
>> On Wed, Apr 25, 2012 at 10:58 AM, Dan <vi5u0-maxima at yahoo.co.uk> wrote:
>
>>> I just stumbled across the asympa.mac package. Looks interesting -
>>> but does there exist any documentation, please?
>
> On Fri, 27 Apr 2012, Raymond Toy wrote:
>
>> Don't know of any, but there is the message
>> http://www.ma.utexas.edu/pipermail/maxima/2003/004844.html that
>> shows some info.
>
> Thanks Raymond. That message showcases the ability of asympa.mac to
> obtain asymptotic expansions of ratsimped or radcanned algebraic
> expressions, by (iteratively) picking the largest-order atom in the
> numerator and the largest-order atom in the denominator.
>
> But what I had in mind was more in the way of obtaining asymptotic
> expansions for integrals, or for solutions to differential equations.
> For example, I tried
>
> load ("asympa") ;
> put(x,'inf,'limit) ;
> asympseries(integrate(exp(-x*t)/(1-t),t,0,inf),1) ;
> pos ;
>
> I was hoping for the answer asymp(1/x), but instead got a noun form.
> This might mean that asympa.mac doesn't know about Watson's lemma, or
> it might just mean that I'm querying it wrongly. I was hoping for
> some documentation that would tell me which - then, similarly, for
> documentation on whether asympa.mac knows about, e.g., Laplace's
> method, the Riemann-Lebesgue lemma, the method of stationary phase,
> the method of steepest descents, and/or the Liouville-Green method.
>