D[InverseJacobiDC[z, m], {z, n}] == KroneckerDelta[n] InverseJacobiDC[z, m] - (JacobiSN[InverseJacobiDC[z, m], m]/(-1 + z^2)) Sum[(((-1)^(j - 1) Pochhammer[1 - n, 2 (n - j) - 2])/ ((n - j - 1)! (2 z)^(n - 2 j - 1))) Sum[(Binomial[j, k] Pochhammer[1/2, k] Pochhammer[1/2, j - k] (z^2 - m)^(-j + k))/(z^2 - 1)^k, {k, 0, j}], {j, 0, n - 1}] /; Element[n, Integers] && n >= 0

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2007-05-02