id,summary,reporter,owner,description,type,status,priority,milestone,component,resolution,keywords,cc,merged,author,reviewer,upstream,work_issues,branch,commit,dependencies,stopgaps
16224,incorrect translation of Bessel from Maxima?,kcrisman,,"From [https://groups.google.com/forum/#!topic/sage-support/IgC78rcdO7c this sage-support thread]:
{{{
But other sums are simply wrong.
k = var('k')
sum(x^(2*k)/factorial(2*k),k,0,oo)
gives
-1/4*sqrt(2)*sqrt(pi)*x^(3/2)
but the answer should be sinh(x).
Hmm. That shouldn't be happening, though I wouldn't be surprised if it didn't turn out as easy as that.
(%i1) load(simplify_sum);
(%o1) /Users/.../Sage-5.12-OSX-64bit-10.6.app/Contents/Reso\
urces/sage/local/share/maxima/5.29.1/share/solve_rec/simplify_sum.mac
(%i3) display2d:false;
(%o3) false
(%i4) simplify_sum(sum(x^(2*k)/factorial(2*k),k,0,inf));
(%o4) sqrt(%pi)*bessel_i(-1/2,x)*sqrt(x)/sqrt(2)
So I'm not sure why that would happen - maybe because of incorrect Bessel simplification?
sage: maxima_calculus('bessel_i(-1/2,x)')
bessel_i(-1/2,x)
sage: _._sage_()
sqrt(2)*sqrt(1/(pi*x))*cosh(x)
That gives cosh(x), which I think is what you meant.
}}}
I don't know why this would happen, but presumably it should be possible to track down without too much effort.",defect,closed,major,sage-6.3,calculus,fixed,,,,Nils Bruin,Peter Bruin,N/A,,dd3786ff9aa822efb8a5eebbc3fbee2e4c1d55fe,dd3786ff9aa822efb8a5eebbc3fbee2e4c1d55fe,,