JacobiZeta[z, m] \[Proportional] (1 - EllipticE[m]/EllipticK[m]) z - (m/6) (1 + EllipticE[m]/EllipticK[m]) z^3 + (m/120) (4 - 3 m - ((9 m - 4) EllipticE[m])/EllipticK[m]) z^5 + (m/5040) (-16 + 60 m - 45 m^2 - ((16 - 180 m + 225 m^2) EllipticE[m])/ EllipticK[m]) z^7 + (m/362880) (64 - 1008 m + 2520 m^2 - 1575 m^3 - (-64 + 3024 m - 12600 m^2 + 11025 m^3) (EllipticE[m]/EllipticK[m])) z^9 + \[Ellipsis] /; (z -> 0)

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2007-05-02