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WeierstrassZeta






Mathematica Notation

Traditional Notation









Elliptic Functions > WeierstrassZeta[z,{g2,g3}] > Transformations > Related transformations > Halving half-period





http://functions.wolfram.com/09.17.16.0011.01









  


  










Input Form





WeierstrassZeta[z, WeierstrassInvariants[{Subscript[\[Omega], 1]/2, Subscript[\[Omega], 3]}]] == Subscript[e, 1] z + WeierstrassZeta[z, {Subscript[g, 2], Subscript[g, 3]}] + WeierstrassZeta[z + Subscript[\[Omega], 1], {Subscript[g, 2], Subscript[g, 3]}] - Subscript[\[Eta], 1]










Standard Form





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MathML Form







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Rule Form





Cell[BoxData[RowBox[List[RowBox[List["HoldPattern", "[", RowBox[List["WeierstrassZeta", "[", RowBox[List["z_", ",", RowBox[List["WeierstrassInvariants", "[", RowBox[List["{", RowBox[List[FractionBox[SubscriptBox["\[Omega]_", "1"], "2"], ",", SubscriptBox["\[Omega]_", "3"]]], "}"]], "]"]]]], "]"]], "]"]], "\[RuleDelayed]", RowBox[List[RowBox[List[SubscriptBox["e", "1"], " ", "z"]], "+", RowBox[List["WeierstrassZeta", "[", RowBox[List["z", ",", RowBox[List["{", RowBox[List[SubscriptBox["g", "2"], ",", SubscriptBox["g", "3"]]], "}"]]]], "]"]], "+", RowBox[List["WeierstrassZeta", "[", RowBox[List[RowBox[List["z", "+", SubscriptBox["\[Omega]\[Omega]", "1"]]], ",", RowBox[List["{", RowBox[List[SubscriptBox["g", "2"], ",", SubscriptBox["g", "3"]]], "}"]]]], "]"]], "-", SubscriptBox["\[Eta]", "1"]]]]]]]










Date Added to functions.wolfram.com (modification date)





2001-10-29





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