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variants of this functions
WeierstrassSigma






Mathematica Notation

Traditional Notation









Elliptic Functions > WeierstrassSigma[n,z,{g2,g3}] > General characteristics > Symmetries and periodicities > Periodicity





http://functions.wolfram.com/09.16.04.0006.01









  


  










Input Form





WeierstrassSigma[i, z + 2 m Subscript[\[Omega], i] + 2 n Subscript[\[Omega], j] + 2 r Subscript[\[Omega], k], {Subscript[g, 2], Subscript[g, 3]}] == (-1)^(n r + r m + m n + m) Exp[2 (m Subscript[\[Eta], i] + n Subscript[\[Eta], j] + r Subscript[\[Eta], k]) (z + m Subscript[\[Omega], i] + n Subscript[\[Omega], j] + r Subscript[\[Omega], k])] WeierstrassSigma[i, z, {Subscript[g, 2], Subscript[g, 3]}] /; Element[{i, j, k}, {1, 2, 3}] && i != j != k && Element[{m, n, r}, Integers]










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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