JacobiZeta[z, m] \[Proportional] (-JacobiZeta[ArcCsc[Sqrt[m]], m]) (I Sqrt[-(1/(z - Subscript[z, 0])^2)] (z - Subscript[z, 0]) + Sqrt[(z - Subscript[z, 0])^2]/(z - Subscript[z, 0])) + (Sqrt[1 - m] - EllipticE[m]/(Sqrt[1 - m] EllipticK[m])) (z - Subscript[z, 0]) (1 + O (z - Subscript[z, 0])^2) /; (z -> Subscript[z, 0]) && Subscript[z, 0] == Pi/2 + Pi u && Element[u, Integers] && Element[m, Reals] && m > 1

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2007-05-02