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WeierstrassP




Mathematica Notation

Traditional Notation









Elliptic Functions > WeierstrassP[z,{g2,g3}] > Transformations > Half-angle formulas





http://functions.wolfram.com/09.13.16.0013.01









  


  








Input Form





WeierstrassP[z/2, {Subscript[g, 2], Subscript[g, 3]}] == WeierstrassP[z, {Subscript[g, 2], Subscript[g, 3]}] + Subscript[\[Epsilon], 2] Subscript[\[Epsilon], 3] Sqrt[WeierstrassP[z, {Subscript[g, 2], Subscript[g, 3]}] - Subscript[e, 2]] Sqrt[WeierstrassP[z, {Subscript[g, 2], Subscript[g, 3]}] - Subscript[e, 3]] + Subscript[\[Epsilon], 3] Subscript[\[Epsilon], 1] Sqrt[WeierstrassP[z, {Subscript[g, 2], Subscript[g, 3]}] - Subscript[e, 3]] Sqrt[WeierstrassP[z, {Subscript[g, 2], Subscript[g, 3]}] - Subscript[e, 1]] + Subscript[\[Epsilon], 1] Subscript[\[Epsilon], 2] Sqrt[WeierstrassP[z, {Subscript[g, 2], Subscript[g, 3]}] - Subscript[e, 1]] Sqrt[WeierstrassP[z, {Subscript[g, 2], Subscript[g, 3]}] - Subscript[e, 2]] /; Subscript[\[Epsilon], n] == Sign[Pi/2 - Abs[Arg[WeierstrassSigma[n, z, {Subscript[g, 2], Subscript[g, 3]}]/WeierstrassSigma[z, {Subscript[g, 2], Subscript[g, 3]}]]]] && Element[n, {1, 2, 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