The documentation
http://modular.math.washington.edu/sage/doc/html/ref/module-sage.functions.special.html
makes it very clear what is being computed here.

Are you arguing that the "maxima" option should be the default rather than
"pari"?

If everyone agrees (I don't care) then I'll try sending a patch to
William this weekend.

+++++++++++++++++++++++++++++++++++++++++

dt wrote:
> Hi All,
> I'm new to sage.  I'm very impressed and a bit overwhelmed at the
> capabilities in sage.  I noticed a discrepancy today that I can't
> reconcile in the response of bessel functions.  I get different values
> depending on how I invoke it.  For example, the bessel J functions
> don't have zeros!  I have sample output below.  Can anyone tell me what
> I'm doing wrong or if there is a known bug or patch?
>
> thanks
>
> pari(2).besselj(3)
> #
> # 0.48609126058589108
> #
> #
>
> bessel_J(2,3)
> #
> # 0.12894324947440206
> #
> #
>
> bessel_J(2,3,'maxima')
> #
> # 0.48609126058589119
> #
> #
>
> bessel_J(2,3,'pari',80)
> #
> # 0.12894324947440205109879323
> #
> #
>
> (0.486...) is the right value.
> So what is Sage calculating with the default interface and the 'pari'
> argument?
> -john
> Oh, I'm using pari-2.3.1 on linux RH9.
> btw, the web notebook interface is the coolest thing I've seen in a
> long time.
>
>
> >
>   


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