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JacobiDN






Mathematica Notation

Traditional Notation









Elliptic Functions > JacobiDN[z,m] > Identities involving the group of functions > Cyclic Identities of rank 3 > p=3





http://functions.wolfram.com/09.29.18.0019.01









  


  










Input Form





JacobiDN[z, m] JacobiSN[z + (4 EllipticK[m])/3, m] JacobiSN[z + (8 EllipticK[m])/3, m] + JacobiDN[z + (4 EllipticK[m])/3, m] JacobiSN[z + (8 EllipticK[m])/3, m] JacobiSN[z, m] + JacobiDN[z + (8 EllipticK[m])/3, m] JacobiSN[z, m] JacobiSN[z + (4 EllipticK[m])/3, m] == ((-JacobiDN[(2 EllipticK[m])/3, m]^3 - JacobiDN[(2 EllipticK[m])/3, m]^2 + JacobiDN[(2 EllipticK[m])/3, m] + 1 - 2 m)/ (m (1 + JacobiDN[(2 EllipticK[m])/3, m]))) (JacobiDN[z, m] + JacobiDN[z + (4 EllipticK[m])/3, m] + JacobiDN[z + (8 EllipticK[m])/3, m])










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)





2002-03-07





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