JacobiZeta[z, m] == z - (EllipticE[m]/EllipticK[m]) z + Sum[((Binomial[2 k, j] (-1)^(i - j + k) 2^(1 + 2 i - 2 k) (j - k)^(2 i) m^k)/(k! (2 i + 1)!)) (Pochhammer[-(1/2), k] - (EllipticE[m]/EllipticK[m]) Pochhammer[1/2, k]) z^(2 i + 1), {i, 1, Infinity}, {k, 1, Infinity}, {j, 0, k - 1}]

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2007-05-02