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variants of this functions
WeierstrassSigma






Mathematica Notation

Traditional Notation









Elliptic Functions > WeierstrassSigma[z,{g2,g3}] > Transformations > Multiple arguments > Argument involving symbolic multiples of variable





http://functions.wolfram.com/09.15.16.0014.01









  


  










Input Form





WeierstrassSigma[n z, {Subscript[g, 2], Subscript[g, 3]}] == (n (-1)^(n^2 - 1) WeierstrassSigma[z, {Subscript[g, 2], Subscript[g, 3]}] Product[If[{j, k} == {0, 0}, 1, WeierstrassSigma[z - (2 j Subscript[\[Omega], 1] + 2 k Subscript[\[Omega], 3])/n, {Subscript[g, 2], Subscript[g, 3]}]/ WeierstrassSigma[(2 j Subscript[\[Omega], 1] + 2 k Subscript[\[Omega], 3])/n, {Subscript[g, 2], Subscript[g, 3]}]], {j, 0, n - 1}, {k, 0, n - 1}])/ E^(n (n - 1) Subscript[\[Eta], 2] z) /; Element[n - 1, Integers] && n - 1 > 0










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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