[Maxima] numerical evaluation of psi0
willisb at unk.edu
Thu Feb 7 09:43:13 CST 2008
maxima-bounces at math.utexas.edu wrote on 02/07/2008 09:06:39 AM:
> Barton Willis wrote:
> > I evaluated psi(1.78095) using webMathematica, Maple 10, and
> > 5.14.0 to 50
> You mean that Mma returns something different?
When I re-did the Mma calculation, all three values agreed. Sorry about
> > (2) Does anybody have a reference to how our psi function works? It
> > seems to use a modified asymptotic expansion.
> I looked at bffac a while back that is the asymptotic series for log
> gamma. A peek at bfpsi shows that it is probably also the asymptotic
> series for psi. Probably A&S 6.3.18.
I think there is a clever modification of 6.3.18. If I figure it out, I'll
append a comment. Let's see if we can tweak bfpsi0 to work better in the
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