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JacobiDN






Mathematica Notation

Traditional Notation









Elliptic Functions > JacobiDN[z,m] > Identities involving the group of functions > Local identities of rank 4 > Rank 4 identities with 3 distinct arguments





http://functions.wolfram.com/09.29.18.0098.01









  


  










Input Form





m^2 JacobiCN[z, m]^2 JacobiSN[z + a, m] JacobiCN[z + b, m] == (-JacobiDS[a, m]) JacobiDS[a - b, m] (JacobiNS[a, m] JacobiDN[z, m] - JacobiDS[a, m] JacobiDN[z + a, m]) + JacobiDS[b, m] JacobiNS[a - b, m] (JacobiNS[b, m] JacobiDN[z, m] - JacobiDS[b, m] JacobiDN[z + b, m]) - m JacobiNS[a, m] JacobiDS[b, m] JacobiCN[z, m] JacobiSN[z, m]










Standard Form





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MathML Form







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Rule Form





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References





A. Khare, A. Lakshminarayan, U. Sukhatme, "Local Identities Involving Jacobi Elliptic Functions", math-ph/0306028, (2003) http://arXiv.org/abs/math-ph/0306028










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





2003-08-21





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