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http://functions.wolfram.com/07.11.03.0063.01
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LegendreQ[2, 10, 2, z] == (967680 z (5 + 55 z^2 + 99 z^4 + 33 z^6))/
(1 - z^2)^5
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Cell[BoxData[RowBox[List[RowBox[List["LegendreQ", "[", RowBox[List["2", ",", "10", ",", "2", ",", "z"]], "]"]], "\[Equal]", FractionBox[RowBox[List["967680", " ", "z", " ", RowBox[List["(", RowBox[List["5", "+", RowBox[List["55", " ", SuperscriptBox["z", "2"]]], "+", RowBox[List["99", " ", SuperscriptBox["z", "4"]]], "+", RowBox[List["33", " ", SuperscriptBox["z", "6"]]]]], ")"]]]], SuperscriptBox[RowBox[List["(", RowBox[List["1", "-", SuperscriptBox["z", "2"]]], ")"]], "5"]]]]]]
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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> <mstyle scriptlevel='0'> <msubsup> <semantics> <mi> Q </mi> <annotation encoding='Mathematica'> TagBox["Q", LegendreQ] </annotation> </semantics> <mn> 2 </mn> <mn> 10 </mn> </msubsup> </mstyle> <mo> ( </mo> <mstyle scriptlevel='0'> <mi> z </mi> </mstyle> <mstyle scriptlevel='0'> <mo> ) </mo> </mstyle> </mrow> <mo> ⩵ </mo> <mfrac> <mrow> <mn> 967680 </mn> <mo> ⁢ </mo> <mi> z </mi> <mo> ⁢ </mo> <mrow> <mo> ( </mo> <mrow> <mn> 5 </mn> <mo> + </mo> <mrow> <mn> 55 </mn> <mo> ⁢ </mo> <msup> <mi> z </mi> <mn> 2 </mn> </msup> </mrow> <mo> + </mo> <mrow> <mn> 99 </mn> <mo> ⁢ </mo> <msup> <mi> z </mi> <mn> 4 </mn> </msup> </mrow> <mo> + </mo> <mrow> <mn> 33 </mn> <mo> ⁢ </mo> <msup> <mi> z </mi> <mn> 6 </mn> </msup> </mrow> </mrow> <mo> ) </mo> </mrow> </mrow> <msup> <mrow> <mo> ( </mo> <mrow> <mn> 1 </mn> <mo> - </mo> <msup> <mi> z </mi> <mn> 2 </mn> </msup> </mrow> <mo> ) </mo> </mrow> <mn> 5 </mn> </msup> </mfrac> </mrow> <annotation-xml encoding='MathML-Content'> <apply> <eq /> <apply> <ci> LegendreQ </ci> <cn type='integer'> 2 </cn> <cn type='integer'> 10 </cn> <ci> z </ci> </apply> <apply> <times /> <cn type='integer'> 967680 </cn> <ci> z </ci> <apply> <plus /> <cn type='integer'> 5 </cn> <apply> <times /> <cn type='integer'> 55 </cn> <apply> <power /> <ci> z </ci> <cn type='integer'> 2 </cn> </apply> </apply> <apply> <times /> <cn type='integer'> 99 </cn> <apply> <power /> <ci> z </ci> <cn type='integer'> 4 </cn> </apply> </apply> <apply> <times /> <cn type='integer'> 33 </cn> <apply> <power /> <ci> z </ci> <cn type='integer'> 6 </cn> </apply> </apply> </apply> <apply> <power /> <apply> <power /> <apply> <plus /> <cn type='integer'> 1 </cn> <apply> <times /> <cn type='integer'> -1 </cn> <apply> <power /> <ci> z </ci> <cn type='integer'> 2 </cn> </apply> </apply> </apply> <cn type='integer'> 5 </cn> </apply> <cn type='integer'> -1 </cn> </apply> </apply> </apply> </annotation-xml> </semantics> </math>
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| Cell[BoxData[RowBox[List[RowBox[List["HoldPattern", "[", RowBox[List["LegendreQ", "[", RowBox[List["2", ",", "10", ",", "2", ",", "z_"]], "]"]], "]"]], "\[RuleDelayed]", FractionBox[RowBox[List["967680", " ", "z", " ", RowBox[List["(", RowBox[List["5", "+", RowBox[List["55", " ", SuperscriptBox["z", "2"]]], "+", RowBox[List["99", " ", SuperscriptBox["z", "4"]]], "+", RowBox[List["33", " ", SuperscriptBox["z", "6"]]]]], ")"]]]], SuperscriptBox[RowBox[List["(", RowBox[List["1", "-", SuperscriptBox["z", "2"]]], ")"]], "5"]]]]]] |
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Date Added to functions.wolfram.com (modification date)
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