D[InverseJacobiCS[z, m], {m, 3}] == (-(1/(4 (-1 + m)^3 m^3 (1 - m + z^2)^2))) ((1/2) (-1 + m - z^2) ((8 + 23 (-1 + m) m) (-1 + m - z^2) EllipticE[JacobiAmplitude[InverseJacobiCS[z, m], m], m] + (-1 + m) (m z Sqrt[1 - m/(1 + z^2)] + (-7 + 11 m) (-1 + m - z^2) EllipticF[JacobiAmplitude[InverseJacobiCS[z, m], m], m])) + (1/(2 (1 + z^2))) (15 (-1 + m)^3 (1 + z^2) (1 - m + z^2)^2 InverseJacobiCS[z, m] - m z ((-1 + m)^2 (5 + m (-13 + 23 m)) - 5 (-1 + m) (2 + m (-5 + 7 m)) z^2 + (5 + 3 m (-4 + 5 m)) z^4) JacobiND[InverseJacobiCS[z, m], m]))

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type='integer'> 2 </cn> </apply> <apply> <power /> <ci> z </ci> <cn type='integer'> 2 </cn> </apply> </apply> </apply> <apply> <times /> <apply> <power /> <apply> <plus /> <ci> m </ci> <cn type='integer'> -1 </cn> </apply> <cn type='integer'> 2 </cn> </apply> <apply> <plus /> <apply> <times /> <ci> m </ci> <apply> <plus /> <apply> <times /> <cn type='integer'> 23 </cn> <ci> m </ci> </apply> <cn type='integer'> -13 </cn> </apply> </apply> <cn type='integer'> 5 </cn> </apply> </apply> </apply> <apply> <ci> JacobiND </ci> <apply> <ci> InverseJacobiCS </ci> <ci> z </ci> <ci> m </ci> </apply> <ci> m </ci> </apply> </apply> </apply> </apply> </apply> </apply> </apply> </apply> </annotation-xml> </semantics> </math>

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2007-05-02