#9908: maxima sum returns hypergeometric function
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Reporter: | Owner: burcin
schilly | Status: positive_review
Type: | Milestone: sage-6.3
defect | Resolution:
Priority: major | Merged in:
Component: | Reviewers: Karl-Dieter Crisman, Ralf Stephan
symbolics | Work issues:
Keywords: | Commit:
hypergeometric | Stopgaps:
Authors: |
Report Upstream: N/A |
Branch: |
Dependencies: |
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Changes (by kcrisman):
* status: needs_review => positive_review
Comment:
> > {{{
> > sage: sum(x^(3*k)/factorial(2*k),k,0,oo)
> > sqrt(pi)*x^(3/4)*sqrt(1/(pi*x^(3/2)))*cosh(x^(3/2))
> > }}}
> Interestingly, this works in vanilla Sage as well. Maybe there weren't
any hg functions to begin with there. I assume it was fixed with #16224 -
earlier it gave yet another (wrong) answer.
Even more interestingly, this is not as simple as just `cosh(x^(3/2))`
(which is correct) but I'm not going to repurpose this one for that.
--
Ticket URL: <http://trac.sagemath.org/ticket/9908#comment:14>
Sage <http://www.sagemath.org>
Sage: Creating a Viable Open Source Alternative to Magma, Maple, Mathematica,
and MATLAB
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