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WeierstrassPPrime






Mathematica Notation

Traditional Notation









Elliptic Functions > WeierstrassPPrime[z,{g2,g3}] > Representations through equivalent functions > With related functions > Involving other Weierstrass functions





http://functions.wolfram.com/09.14.27.0005.01









  


  










Input Form





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





Cell[BoxData[RowBox[List[RowBox[List["HoldPattern", "[", RowBox[List["WeierstrassPPrime", "[", RowBox[List["z_", ",", RowBox[List["{", RowBox[List[SubscriptBox["g_", "2"], ",", SubscriptBox["g_", "3"]]], "}"]]]], "]"]], "]"]], "\[RuleDelayed]", FractionBox[RowBox[List["2", " ", RowBox[List["WeierstrassSigma", "[", RowBox[List[RowBox[List["z", "-", SubscriptBox["\[Omega]", "1"]]], ",", RowBox[List["{", RowBox[List[SubscriptBox["gg", "2"], ",", SubscriptBox["gg", "3"]]], "}"]]]], "]"]], " ", RowBox[List["WeierstrassSigma", "[", RowBox[List[RowBox[List["z", "-", SubscriptBox["\[Omega]", "2"]]], ",", RowBox[List["{", RowBox[List[SubscriptBox["gg", "2"], ",", SubscriptBox["gg", "3"]]], "}"]]]], "]"]], " ", RowBox[List["WeierstrassSigma", "[", RowBox[List[RowBox[List["z", "-", SubscriptBox["\[Omega]", "3"]]], ",", RowBox[List["{", RowBox[List[SubscriptBox["gg", "2"], ",", SubscriptBox["gg", "3"]]], "}"]]]], "]"]]]], RowBox[List[SuperscriptBox[RowBox[List["WeierstrassSigma", "[", RowBox[List["z", ",", RowBox[List["{", RowBox[List[SubscriptBox["gg", "2"], ",", SubscriptBox["gg", "3"]]], "}"]]]], "]"]], "3"], " ", RowBox[List["WeierstrassSigma", "[", RowBox[List[SubscriptBox["\[Omega]", "1"], ",", RowBox[List["{", RowBox[List[SubscriptBox["gg", "2"], ",", SubscriptBox["gg", "3"]]], "}"]]]], "]"]], " ", RowBox[List["WeierstrassSigma", "[", RowBox[List[SubscriptBox["\[Omega]", "2"], ",", RowBox[List["{", RowBox[List[SubscriptBox["gg", "2"], ",", SubscriptBox["gg", "3"]]], "}"]]]], "]"]], " ", RowBox[List["WeierstrassSigma", "[", RowBox[List[SubscriptBox["\[Omega]", "3"], ",", RowBox[List["{", RowBox[List[SubscriptBox["gg", "2"], ",", SubscriptBox["gg", "3"]]], "}"]]]], "]"]]]]]]]]]










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





2001-10-29





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