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JacobiDN






Mathematica Notation

Traditional Notation









Elliptic Functions > JacobiDN[z,m] > Transformations > Multiple arguments > Multiple angle formulas





http://functions.wolfram.com/09.29.16.0040.01









  


  










Input Form





JacobiDN[((2 n)/Pi) EllipticK[ModularLambda[(n/(Pi I)) Log[EllipticNomeQ[m]]]] x, ModularLambda[ (n/(Pi I)) Log[EllipticNomeQ[m]]]] == ((1 - ModularLambda[(n/(Pi I)) Log[EllipticNomeQ[m]]])^(1/4)/(1 - m)^(n/4)) Product[JacobiDN[((2 EllipticK[m])/Pi) (x + (r Pi)/n), m], {r, 0, n - 1}] /; Element[(n + 1)/2, Integers] && n > 0










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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