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http://functions.wolfram.com/09.14.03.0002.01
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WeierstrassPPrime[z, {3, 1}] == -3 Sqrt[3/2] Cot[Sqrt[3/2] z]
Csc[Sqrt[3/2] z]^2
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Cell[BoxData[RowBox[List[RowBox[List["WeierstrassPPrime", "[", RowBox[List["z", ",", RowBox[List["{", RowBox[List["3", ",", "1"]], "}"]]]], "]"]], "\[Equal]", RowBox[List[RowBox[List["-", "3"]], " ", SqrtBox[FractionBox["3", "2"]], " ", RowBox[List["Cot", "[", RowBox[List[SqrtBox[FractionBox["3", "2"]], " ", "z"]], "]"]], " ", SuperscriptBox[RowBox[List["Csc", "[", RowBox[List[SqrtBox[FractionBox["3", "2"]], " ", "z"]], "]"]], "2"]]]]]]]
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<math xmlns='http://www.w3.org/1998/Math/MathML' mathematica:form='TraditionalForm' xmlns:mathematica='http://www.wolfram.com/XML/'> <semantics> <mrow> <mrow> <msup> <mi> ℘ </mi> <mo> ′ </mo> </msup> <mo> ( </mo> <mrow> <mrow> <mi> z </mi> <mo> ; </mo> <mn> 3 </mn> </mrow> <mo> , </mo> <mn> 1 </mn> </mrow> <mo> ) </mo> </mrow> <mo> ⩵ </mo> <mrow> <mrow> <mo> - </mo> <mn> 3 </mn> </mrow> <mo> ⁢ </mo> <msqrt> <mfrac> <mn> 3 </mn> <mn> 2 </mn> </mfrac> </msqrt> <mo> ⁢ </mo> <mrow> <mi> cot </mi> <mo> ⁡ </mo> <mo> ( </mo> <mrow> <msqrt> <mfrac> <mn> 3 </mn> <mn> 2 </mn> </mfrac> </msqrt> <mo> ⁢ </mo> <mi> z </mi> </mrow> <mo> ) </mo> </mrow> <mo> ⁢ </mo> <mrow> <msup> <mi> csc </mi> <mn> 2 </mn> </msup> <mo> ( </mo> <mrow> <msqrt> <mfrac> <mn> 3 </mn> <mn> 2 </mn> </mfrac> </msqrt> <mo> ⁢ </mo> <mi> z </mi> </mrow> <mo> ) </mo> </mrow> </mrow> </mrow> <annotation-xml encoding='MathML-Content'> <apply> <eq /> <apply> <apply> <partialdiff /> <list> <cn type='integer'> 1 </cn> </list> <ci> ℘ </ci> </apply> <apply> <ci> CompoundExpression </ci> <ci> z </ci> <cn type='integer'> 3 </cn> </apply> <cn type='integer'> 1 </cn> </apply> <apply> <times /> <cn type='integer'> -3 </cn> <apply> <power /> <cn type='rational'> 3 <sep /> 2 </cn> <cn type='rational'> 1 <sep /> 2 </cn> </apply> <apply> <cot /> <apply> <times /> <apply> <power /> <cn type='rational'> 3 <sep /> 2 </cn> <cn type='rational'> 1 <sep /> 2 </cn> </apply> <ci> z </ci> </apply> </apply> <apply> <power /> <apply> <csc /> <apply> <times /> <apply> <power /> <cn type='rational'> 3 <sep /> 2 </cn> <cn type='rational'> 1 <sep /> 2 </cn> </apply> <ci> z </ci> </apply> </apply> <cn type='integer'> 2 </cn> </apply> </apply> </apply> </annotation-xml> </semantics> </math>
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| Cell[BoxData[RowBox[List[RowBox[List["HoldPattern", "[", RowBox[List["WeierstrassPPrime", "[", RowBox[List["z_", ",", RowBox[List["{", RowBox[List["3", ",", "1"]], "}"]]]], "]"]], "]"]], "\[RuleDelayed]", RowBox[List[RowBox[List["-", "3"]], " ", SqrtBox[FractionBox["3", "2"]], " ", RowBox[List["Cot", "[", RowBox[List[SqrtBox[FractionBox["3", "2"]], " ", "z"]], "]"]], " ", SuperscriptBox[RowBox[List["Csc", "[", RowBox[List[SqrtBox[FractionBox["3", "2"]], " ", "z"]], "]"]], "2"]]]]]]] |
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Date Added to functions.wolfram.com (modification date)
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