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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/;u ∈ Z





http://functions.wolfram.com/08.07.06.0024.01









  


  








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