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JacobiCD






Mathematica Notation

Traditional Notation









Elliptic Functions > JacobiCD[z,m] > Representations through equivalent functions > With related functions > Involving Weierstrass functions





http://functions.wolfram.com/09.25.27.0022.01









  


  










Input Form





JacobiCD[z, m] == WeierstrassSigma[1, z/Sqrt[Subscript[e, 1] - Subscript[e, 3]], {Subscript[g, 2], Subscript[g, 3]}]/WeierstrassSigma[2, z/Sqrt[Subscript[e, 1] - Subscript[e, 3]], {Subscript[g, 2], Subscript[g, 3]}] /; {Subscript[\[Omega], 1], Subscript[\[Omega], 3]} == WeierstrassHalfPeriods[{Subscript[g, 2], Subscript[g, 3]}] && Subscript[\[Omega], 2] == -Subscript[\[Omega], 1] - Subscript[\[Omega], 3] && m == ModularLambda[Subscript[\[Omega], 3]/Subscript[\[Omega], 1]] && Subscript[e, n] == WeierstrassP[Subscript[\[Omega], n], {Subscript[g, 2], Subscript[g, 3]}] && Element[n, {1, 2, 3}]










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)





2001-10-29





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