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variants of this functions
WeierstrassSigma




Mathematica Notation

Traditional Notation









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





http://functions.wolfram.com/09.15.16.0008.01









  


  








Input Form





WeierstrassSigma[2 z, {Subscript[g, 2], Subscript[g, 3]}] == 2 WeierstrassSigma[z, {Subscript[g, 2], Subscript[g, 3]}] WeierstrassSigma[Subscript[\[Omega], 1] - z, {Subscript[g, 2], Subscript[g, 3]}] WeierstrassSigma[ Subscript[\[Omega], 2] - z, {Subscript[g, 2], Subscript[g, 3]}] (WeierstrassSigma[Subscript[\[Omega], 3] - z, {Subscript[g, 2], Subscript[g, 3]}]/(WeierstrassSigma[Subscript[\[Omega], 1], {Subscript[g, 2], Subscript[g, 3]}] WeierstrassSigma[ Subscript[\[Omega], 2], {Subscript[g, 2], Subscript[g, 3]}] WeierstrassSigma[Subscript[\[Omega], 3], {Subscript[g, 2], Subscript[g, 3]}]))








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