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JacobiZeta






Mathematica Notation

Traditional Notation









Elliptic Integrals > JacobiZeta[z,m] > Transformations > Products, sums, and powers of the direct function > Sums of the direct function





http://functions.wolfram.com/08.07.16.0003.01









  


  










Input Form





JacobiZeta[Subscript[z, 1], m] + JacobiZeta[Subscript[z, 2], m] == JacobiZeta[z, m] - m Sin[Subscript[z, 1]] Sin[Subscript[z, 2]] Sin[z] /; z == 2 ArcTan[(Sin[Subscript[z, 1]] Sqrt[1 - m Sin[Subscript[z, 2]]^2] - Sin[Subscript[z, 2]] Sqrt[1 - m Sin[Subscript[z, 1]]^2])/ (Cos[Subscript[z, 1]] - Cos[Subscript[z, 2]])] && 0 < m < 1 && Abs[Subscript[z, 1]] < 1 && Abs[Subscript[z, 2]] < 1










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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