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JacobiDN




Mathematica Notation

Traditional Notation









Elliptic Functions > JacobiDN[z,m] > Transformations > Sums over products of two Jacobi functions





http://functions.wolfram.com/09.29.16.0043.01









  


  








Input Form





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








Standard Form





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MathML Form







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Rule Form





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References





A. Khare, U. Sukhatme, "Cyclic Identities Involving Jacobi Elliptic Functions", math-ph/0201004, (2002) http://arXiv.org/abs/math-ph/0201004

A. Khare, U. Sukhatme, "Cyclic Identities Involving Jacobi Elliptic Functions", Journal of Mathematical Physics, v. 43, issue 7, pp. 3798-3806 (2002)


Date Added to functions.wolfram.com (modification date)





2002-03-07