At Fri, 11 Sep 2009 19:28:59 +1200,
tim wrote:
> should be
>
> const int rjstatus = gsl_sf_ellint_RJ_e(0.0, y, 1.0, 1.0 - n, mode, &rj);
> result->val = rf.val + (n/3.0) * rj.val;
>
> From Wikipedia
>
> K(k)=R_F\left(0,1-k^2,1\right)
>
> E(k)=R_F\left(0,1-k^2,1\right)-\frac{1}{3}k^2 R_D\left(0,1-k^2,1\right)
>
> \Pi(n,k)=R_F\left(0,1-k^2,1\right)+\frac{1}{3}n R_J
> \left(0,1-k^2,1,1-n\right)
Thanks for your email. Wikipedia is using a different sign convention
for n -- we use the sign in the original Carlson paper, equation 4.3.
For reference, the paper is available at
http://resolver.sub.uni-goettingen.de/purl?GDZPPN001175246
--
Brian Gough
GNU Scientific Library -
http://www.gnu.org/software/gsl/
_______________________________________________
Bug-gsl mailing list
[email protected]
http://lists.gnu.org/mailman/listinfo/bug-gsl
