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Re: [Help-gsl] Incomplete elliptic integral E(phi, k) decreasing with ph


From: Frank Reininghaus
Subject: Re: [Help-gsl] Incomplete elliptic integral E(phi, k) decreasing with phi?
Date: Sat, 22 Mar 2008 21:39:39 +0100
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Hi Liam,

On Saturday 22 March 2008 20:15:06 Liam Healy wrote:
> Yet I try gsl_sf_ellint_E_e
> for phi = 0.5pi and k=0.5, I find the value returned is 1.46746 (which
> agrees with the result from the complete elliptic integral as it
> should),
> and for phi= 0.6pi and k=0.5, value is 1.19394.  In fact, for phi=pi,
> I get essentially 0, when it looks like I should get 2*1.46746 because
> sin^2 is symmetric about pi/2.

I tried what you decribed and got results that seem to be correct also for 
phi=0.6*pi and phi=pi. Could you send a complete (but short) program that 
shows the behavior you mentioned?

Thanks,
Frank






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