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WeierstrassZeta




Mathematica Notation

Traditional Notation









Elliptic Functions > WeierstrassZeta[z,{g2,g3}] > Differential equations > Ordinary nonlinear differential equations





http://functions.wolfram.com/09.17.13.0001.01









  


  








Input Form





D[WeierstrassZeta[z, {Subscript[g, 2], Subscript[g, 3]}], {z, 2}]^2 + 4 D[WeierstrassZeta[z, {Subscript[g, 2], Subscript[g, 3]}], z]^3 - Subscript[g, 2] D[WeierstrassZeta[z, {Subscript[g, 2], Subscript[g, 3]}], z] + Subscript[g, 3] == 0








Standard Form





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MathML Form







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Rule Form





Cell[BoxData[RowBox[List[RowBox[List["HoldPattern", "[", RowBox[List[SuperscriptBox[RowBox[List["(", RowBox[List[SubscriptBox["\[PartialD]", RowBox[List[RowBox[List["{", RowBox[List["z_", ",", "2"]], "}"]]]]], RowBox[List["WeierstrassZeta", "[", RowBox[List["z_", ",", RowBox[List["{", RowBox[List[SubscriptBox["g_", "2"], ",", SubscriptBox["g_", "3"]]], "}"]]]], "]"]]]], ")"]], "2"], "+", RowBox[List["4", " ", SuperscriptBox[RowBox[List["(", RowBox[List[SubscriptBox["\[PartialD]", RowBox[List["z_"]]], RowBox[List["WeierstrassZeta", "[", RowBox[List["z_", ",", RowBox[List["{", RowBox[List[SubscriptBox["g_", "2"], ",", SubscriptBox["g_", "3"]]], "}"]]]], "]"]]]], ")"]], "3"]]], "-", RowBox[List[SubscriptBox["g_", "2"], " ", RowBox[List[SubscriptBox["\[PartialD]", RowBox[List["z_"]]], RowBox[List["WeierstrassZeta", "[", RowBox[List["z_", ",", RowBox[List["{", RowBox[List[SubscriptBox["g_", "2"], ",", SubscriptBox["g_", "3"]]], "}"]]]], "]"]]]]]], "+", SubscriptBox["g_", "3"]]], "]"]], "\[RuleDelayed]", "0"]]]]


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





2001-10-29