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)