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JacobiZeta






Mathematica Notation

Traditional Notation









Elliptic Integrals > JacobiZeta[z,m] > Series representations > Generalized power series > Expansions at z==-csc-1(m1/2)+Pi u/;uZ





http://functions.wolfram.com/08.07.06.0027.01









  


  










Input Form





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










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