#10565: another bug in symbolic sum
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Reporter: zimmerma | Owner: burcin
Type: defect | Status: new
Priority: minor | Milestone: sage-4.6.1
Component: calculus | Keywords:
Author: | Upstream: N/A
Reviewer: | Merged:
Work_issues: |
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This was reported by Alexandre Casamayou:
{{{
sage: var('n')
n
sage: assume(x<0)
sage: sum (x^n/(2*n+1), n, 0, infinity)
arctanh(sqrt(x))/sqrt(x)
}}}
In the last result {{{x}}} should be {{{-x}}} since x is negative.
This is what we get if we replace {{{x}}} by {{{-y}}}:
{{{
sage: var('y')
y
sage: assume(y>0)
sage: sum ((-y)^n/(2*n+1), n, 0, infinity)
arctan(sqrt(y))/sqrt(y)
}}}
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Ticket URL: <http://trac.sagemath.org/sage_trac/ticket/10565>
Sage <http://www.sagemath.org>
Sage: Creating a Viable Open Source Alternative to Magma, Maple, Mathematica,
and MATLAB
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