[Maxima-bugs] [ maxima-Bugs-2508877 ] simp2f1-will-continue-in

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Bugs item #2508877, was opened at 2009-01-15 05:48
Message generated for change (Comment added) made by crategus
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Category: Lisp Core - Simplification
Group: None
>Status: Closed
>Resolution: Fixed
Priority: 2
Private: No
Submitted By: Raymond Toy (rtoy)
Assigned to: Nobody/Anonymous (nobody)
Summary: simp2f1-will-continue-in

Initial Comment:
There are many cases where Maxima will print SIMP2F1-WILL-CONTINUE-IN.

hgfred([-a,a+1/2],[3/2],x) is one such expression.

This is a reminder that Maxima doesn't know how to reduce this to some other form. 

But A&S 15.2.4 can reduce 3/2 to 1/2, and Maxima knows what hgfred([-a,a+1/2],[1/2],x) is when a is a positive integer.

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>Comment By: Dieter Kaiser (crategus)
Date: 2010-02-01 20:33

Message:
I think we have numerous possibilities to extend the code of hgfred to get
more result. The example of this report works after revision 1.113 of
hyp.lisp for a positive integer:

(%i1) declare(n,integer)$
(%i2) assume(n>0)$

(%i3) hgfred([-n,n+1/2],[3/2],z);
(%o3) n!*jacobi_p(n,1/2,-1,1-2*z)/pochhammer(3/2,n)

Therefore, I would like to close this bug report. This example is fixed.

Dieter Kaiser

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