[Maxima-bugs] [ maxima-Bugs-2801819 ] spurious Principal Value message

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Bugs item #2801819, was opened at 2009-06-05 18:18
Message generated for change (Settings changed) made by crategus
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Category: None
Group: None
>Status: Pending
>Resolution: Works For Me
Priority: 5
Private: No
Submitted By: Barton Willis (willisbl)
Assigned to: Nobody/Anonymous (nobody)
Summary: spurious Principal Value message

Initial Comment:
(%i1) assume(p > 0);
(%o1) [p>0]

OK:

(%i4) integrate(exp(-p * t^2),t,minf,inf);
(%o4) sqrt(%pi)/sqrt(p)

OK, but not a principle value:

(%i5) integrate(exp(-pp * t^2),t,minf,inf);
Is  pp  positive, negative, or zero?pos;
Principal Value
(%o5) sqrt(%pi)/sqrt(pp)


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>Comment By: Dieter Kaiser (crategus)
Date: 2009-11-14 22:45

Message:
This problem seems to be no longer present in Maxima 5.19post:

(%i2) integrate(exp(-pp * t^2),t,minf,inf);
Is  pp  positive, negative, or zero?

p;
(%o2) sqrt(%pi)/sqrt(pp)

Setting the status to pending and resolution to "works for me".

Dieter Kaiser

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Comment By: Nobody/Anonymous (nobody)
Date: 2009-06-05 20:18

Message:
The difference between the two cases is in poles-in-interval.  In the first
case, there are no poles in the interval.  In the second case,
poles-in-interval thinks there are poles at minf and inf.  Hence, maxima
thinks we have a principal value integral.

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