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MathGroup Archive 1995

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Re: Q: D[EllipticK[k],k] ?

  • To: mathgroup at christensen.cybernetics.net
  • Subject: [mg2013] Re: Q: D[EllipticK[k],k] ?
  • From: rknapp (Robert Knapp)
  • Date: Thu, 14 Sep 1995 23:28:29 -0400
  • Organization: The Santa Fe Institute

In article <DEIIuB.Hw2 at wri.com> "David O. Gunter" <david_gunter at qmgate.anl.gov> writes:

> I need to know if it's possible to obtain the derivative of the
> complete elliptic integral given by EllipticK[k], where k is some
> parameter.  
>
...
> 
> How can I obtain the numerical answer this derivative?
> 
Here is a formula computed from the next version of Mathematica to be released:


In[1]:= EllipticK'[k]

Out[1]= (EllipticE[k] - (1 - k)*EllipticK[k])/(2*(1 - k)*k)


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