>
>
> > which, to me, is a very useful answer. But other sums are simply wrong.
> >
> > k = var('k')
> > sum(x^(2*k)/factorial(2*k),k,0,oo)
>
> I'm working with Maxima 5.33.0. I get
>
> simplify_sum ('sum(x^(2*k)/factorial(2*k),k,0,inf));
> => sqrt(%pi)*bessel_i(-1/2,x)*sqrt(x)/sqrt(2)
>
> which seems to be cosh(x).
>
> > sum(x^(3*k)/factorial(2*k),k,0,oo)
>
> I get
>
> simplify_sum ('sum(x^(3*k)/factorial(2*k),k,0,inf));
> => sqrt(%pi)*bessel_i(-1/2,x^(3/2))*x^(3/4)/sqrt(2)
>
Yes, at the ticket in question Nils was able to diagnose it as what I
suspected, an incorrect translation from Maxima to Sage. Thanks!
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