[Maxima] asymptotic expansion of the error function

Dan vi5u0-maxima at yahoo.co.uk
Wed Apr 25 12:10:45 CDT 2012


On Wed, 25 Apr 2012, Raymond Toy wrote:

> Too bad this doesn't work:
>
> taylor(erfc(z),z,inf,4)

It can't, because erfc(1/y) has an essential singularity at y = 0, and
therefore no series representation there in powers of y alone.  The
asymptotic series is allowed to evade that by containing an explicit
exponential factor.


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