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Re: [Help-gsl] Wolfram EllipticK vs gsl_sf_ellint_Kcomp

From: Will M Farr
Subject: Re: [Help-gsl] Wolfram EllipticK vs gsl_sf_ellint_Kcomp
Date: Mon, 26 Jul 2010 13:30:43 -0500


Have you checked the docs carefully?  I recall a difference of definition (k vs 
k^2 in the integral) between Mathematica and GSL when I looked into this a few 
weeks ago....


On Jul 26, 2010, at 1:24 PM, Ruben Van Boxem wrote:

> Hi,
> Since recently I have been using GSL for the odd mathematical functions that
> appear in my calculations.
> I am using the library, compiled with and for mingw-w64
> (x86_64-w64-mingw32), and BesselK functions work nicely.
> Today I needed Wolfram's
> EllipticK<>,
> but GSL outputs the wrong value.
> I'm comparing GSL's
>> gsl_sf_ellint_Kcomp
> with Wolfram's 
> EllipticK<>
> GSL: 1.6564411200033
> Wolfram: 1.6124413487
> GCC version is 4.4.5 (prerelease).
> I am currently building GSL for the i686-w64-mingw32 target, and wonder if
> I'll get the same result.
> Of course it's possible that I used the wrong GSL function, but the
> documentation seems to match Wolfram's definition of EllipticK.
> Thanks for any help!
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