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JacobiZeta






Mathematica Notation

Traditional Notation









Elliptic Integrals > JacobiZeta[z,m] > Series representations > Generalized power series > Expansions at z==Pi/2+Pi u/;uZ && m>1





http://functions.wolfram.com/08.07.06.0030.01









  


  










Input Form





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










Standard Form





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MathML Form







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Rule Form





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Date Added to functions.wolfram.com (modification date)





2007-05-02





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