Investigating an inconsistency in a computation i found the following:
niobe% maxima
(%i1) assume(p<0)$
(%i2) taylor(t^p*sqrt(t),t,0,0);
(%o2)/T/ 0 + . . .
(%i3) taylor(t^p*sqrt(t),t,0,1);
p
(%o3)/T/ t sqrt(t) + . . .
(%i4) diff(%,t);
p
t
(%o4)/T/ --------- + . . .
2 sqrt(t)
(%i5) diff(t^(p+1/2),t);
1 p - 1/2
(%o5) (p + -) t
2
where there are at least two problems.
Versions are as follows:
niobe% \maxima
Maxima 5.17.1 http://maxima.sourceforge.net
Using Lisp CMU Common Lisp Snapshot 2008-02 (19E)
--
Michel Talon