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http://functions.wolfram.com/09.24.03.0014.01
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Derivative[19, 0][JacobiAmplitude][0, m] == -m^9 - 24213776 m^8 -
14804306080 m^7 - 345558617984 m^6 - 1165333452544 m^5 - 782931974144 m^4 -
95153582080 m^3 - 1073463296 m^2 - 65536 m
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Cell[BoxData[RowBox[List[RowBox[List[SuperscriptBox["JacobiAmplitude", TagBox[RowBox[List["(", RowBox[List["19", ",", "0"]], ")"]], Derivative], Rule[MultilineFunction, None]], "[", RowBox[List["0", ",", "m"]], "]"]], "\[Equal]", RowBox[List[RowBox[List["-", SuperscriptBox["m", "9"]]], "-", RowBox[List["24213776", " ", SuperscriptBox["m", "8"]]], "-", RowBox[List["14804306080", " ", SuperscriptBox["m", "7"]]], "-", RowBox[List["345558617984", " ", SuperscriptBox["m", "6"]]], "-", RowBox[List["1165333452544", " ", SuperscriptBox["m", "5"]]], "-", RowBox[List["782931974144", " ", SuperscriptBox["m", "4"]]], "-", RowBox[List["95153582080", " ", SuperscriptBox["m", "3"]]], "-", RowBox[List["1073463296", " ", SuperscriptBox["m", "2"]]], "-", RowBox[List["65536", " ", "m"]]]]]]]]
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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> am </mi> <semantics> <mrow> <mo> ( </mo> <mrow> <mn> 19 </mn> <mo> , </mo> <mn> 0 </mn> </mrow> <mo> ) </mo> </mrow> <annotation encoding='Mathematica'> TagBox[RowBox[List["(", RowBox[List["19", ",", "0"]], ")"]], Derivative] </annotation> </semantics> </msup> <mo> ( </mo> <mrow> <mn> 0 </mn> <mo> , </mo> <mi> m </mi> </mrow> <mo> ) </mo> </mrow> <mo> ⩵ </mo> <mrow> <mrow> <mo> - </mo> <msup> <mi> m </mi> <mn> 9 </mn> </msup> </mrow> <mo> - </mo> <mrow> <mn> 24213776 </mn> <mo> ⁢ </mo> <msup> <mi> m </mi> <mn> 8 </mn> </msup> </mrow> <mo> - </mo> <mrow> <mn> 14804306080 </mn> <mo> ⁢ </mo> <msup> <mi> m </mi> <mn> 7 </mn> </msup> </mrow> <mo> - </mo> <mrow> <mn> 345558617984 </mn> <mo> ⁢ </mo> <msup> <mi> m </mi> <mn> 6 </mn> </msup> </mrow> <mo> - </mo> <mrow> <mn> 1165333452544 </mn> <mo> ⁢ </mo> <msup> <mi> m </mi> <mn> 5 </mn> </msup> </mrow> <mo> - </mo> <mrow> <mn> 782931974144 </mn> <mo> ⁢ </mo> <msup> <mi> m </mi> <mn> 4 </mn> </msup> </mrow> <mo> - </mo> <mrow> <mn> 95153582080 </mn> <mo> ⁢ </mo> <msup> <mi> m </mi> <mn> 3 </mn> </msup> </mrow> <mo> - </mo> <mrow> <mn> 1073463296 </mn> <mo> ⁢ </mo> <msup> <mi> m </mi> <mn> 2 </mn> </msup> </mrow> <mo> - </mo> <mrow> <mn> 65536 </mn> <mo> ⁢ </mo> <mi> m </mi> </mrow> </mrow> </mrow> <annotation-xml encoding='MathML-Content'> <apply> <eq /> <apply> <apply> <partialdiff /> <list> <cn type='integer'> 19 </cn> <cn type='integer'> 0 </cn> </list> <ci> am </ci> </apply> <cn type='integer'> 0 </cn> <ci> m </ci> </apply> <apply> <plus /> <apply> <times /> <cn type='integer'> -1 </cn> <apply> <power /> <ci> m </ci> <cn type='integer'> 9 </cn> </apply> </apply> <apply> <times /> <cn type='integer'> -1 </cn> <apply> <times /> <cn type='integer'> 24213776 </cn> <apply> <power /> <ci> m </ci> <cn type='integer'> 8 </cn> </apply> </apply> </apply> <apply> <times /> <cn type='integer'> -1 </cn> <apply> <times /> <cn type='integer'> 14804306080 </cn> <apply> <power /> <ci> m </ci> <cn type='integer'> 7 </cn> </apply> </apply> </apply> <apply> <times /> <cn type='integer'> -1 </cn> <apply> <times /> <cn type='integer'> 345558617984 </cn> <apply> <power /> <ci> m </ci> <cn type='integer'> 6 </cn> </apply> </apply> </apply> <apply> <times /> <cn type='integer'> -1 </cn> <apply> <times /> <cn type='integer'> 1165333452544 </cn> <apply> <power /> <ci> m </ci> <cn type='integer'> 5 </cn> </apply> </apply> </apply> <apply> <times /> <cn type='integer'> -1 </cn> <apply> <times /> <cn type='integer'> 782931974144 </cn> <apply> <power /> <ci> m </ci> <cn type='integer'> 4 </cn> </apply> </apply> </apply> <apply> <times /> <cn type='integer'> -1 </cn> <apply> <times /> <cn type='integer'> 95153582080 </cn> <apply> <power /> <ci> m </ci> <cn type='integer'> 3 </cn> </apply> </apply> </apply> <apply> <times /> <cn type='integer'> -1 </cn> <apply> <times /> <cn type='integer'> 1073463296 </cn> <apply> <power /> <ci> m </ci> <cn type='integer'> 2 </cn> </apply> </apply> </apply> <apply> <times /> <cn type='integer'> -1 </cn> <apply> <times /> <cn type='integer'> 65536 </cn> <ci> m </ci> </apply> </apply> </apply> </apply> </annotation-xml> </semantics> </math>
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| Cell[BoxData[RowBox[List[RowBox[List["HoldPattern", "[", RowBox[List[SuperscriptBox["JacobiAmplitude", TagBox[RowBox[List["(", RowBox[List["19", ",", "0"]], ")"]], Derivative], Rule[MultilineFunction, None]], "[", RowBox[List["0", ",", "m_"]], "]"]], "]"]], "\[RuleDelayed]", RowBox[List[RowBox[List["-", SuperscriptBox["m", "9"]]], "-", RowBox[List["24213776", " ", SuperscriptBox["m", "8"]]], "-", RowBox[List["14804306080", " ", SuperscriptBox["m", "7"]]], "-", RowBox[List["345558617984", " ", SuperscriptBox["m", "6"]]], "-", RowBox[List["1165333452544", " ", SuperscriptBox["m", "5"]]], "-", RowBox[List["782931974144", " ", SuperscriptBox["m", "4"]]], "-", RowBox[List["95153582080", " ", SuperscriptBox["m", "3"]]], "-", RowBox[List["1073463296", " ", SuperscriptBox["m", "2"]]], "-", RowBox[List["65536", " ", "m"]]]]]]]] |
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Date Added to functions.wolfram.com (modification date)
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