LaguerreL[6, z] == (1/720) (720 - 4320 z + 5400 z^2 - 2400 z^3 + 450 z^4 - 36 z^5 + z^6)

Cell[BoxData[RowBox[List[RowBox[List["LaguerreL", "[", RowBox[List["6", ",", "z"]], "]"]], "\[Equal]", RowBox[List[FractionBox["1", "720"], " ", RowBox[List["(", RowBox[List["720", "-", RowBox[List["4320", " ", "z"]], "+", RowBox[List["5400", " ", SuperscriptBox["z", "2"]]], "-", RowBox[List["2400", " ", SuperscriptBox["z", "3"]]], "+", RowBox[List["450", " ", SuperscriptBox["z", "4"]]], "-", RowBox[List["36", " ", SuperscriptBox["z", "5"]]], "+", SuperscriptBox["z", "6"]]], ")"]]]]]]]]

<math xmlns='http://www.w3.org/1998/Math/MathML' mathematica:form='TraditionalForm' xmlns:mathematica='http://www.wolfram.com/XML/'> <semantics> <mrow> <mrow> <msub> <mi> L </mi> <mn> 6 </mn> </msub> <mo> ( </mo> <mi> z </mi> <mo> ) </mo> </mrow> <mo> &#10869; </mo> <mrow> <mfrac> <mn> 1 </mn> <mn> 720 </mn> </mfrac> <mo> &#8290; </mo> <mrow> <mo> ( </mo> <mrow> <mn> 720 </mn> <mo> - </mo> <mrow> <mn> 4320 </mn> <mo> &#8290; </mo> <mi> z </mi> </mrow> <mo> + </mo> <mrow> <mn> 5400 </mn> <mo> &#8290; </mo> <msup> <mi> z </mi> <mn> 2 </mn> </msup> </mrow> <mo> - </mo> <mrow> <mn> 2400 </mn> <mo> &#8290; </mo> <msup> <mi> z </mi> <mn> 3 </mn> </msup> </mrow> <mo> + </mo> <mrow> <mn> 450 </mn> <mo> &#8290; </mo> <msup> <mi> z </mi> <mn> 4 </mn> </msup> </mrow> <mo> - </mo> <mrow> <mn> 36 </mn> <mo> &#8290; </mo> <msup> <mi> z </mi> <mn> 5 </mn> </msup> </mrow> <mo> + </mo> <msup> <mi> z </mi> <mn> 6 </mn> </msup> </mrow> <mo> ) </mo> </mrow> </mrow> </mrow> <annotation-xml encoding='MathML-Content'> <apply> <eq /> <apply> <ci> LaguerreL </ci> <cn type='integer'> 6 </cn> <ci> z </ci> </apply> <apply> <times /> <cn type='rational'> 1 <sep /> 720 </cn> <apply> <plus /> <cn type='integer'> 720 </cn> <apply> <times /> <cn type='integer'> -1 </cn> <apply> <times /> <cn type='integer'> 4320 </cn> <ci> z </ci> </apply> </apply> <apply> <times /> <cn type='integer'> 5400 </cn> <apply> <power /> <ci> z </ci> <cn type='integer'> 2 </cn> </apply> </apply> <apply> <times /> <cn type='integer'> -1 </cn> <apply> <times /> <cn type='integer'> 2400 </cn> <apply> <power /> <ci> z </ci> <cn type='integer'> 3 </cn> </apply> </apply> </apply> <apply> <times /> <cn type='integer'> 450 </cn> <apply> <power /> <ci> z </ci> <cn type='integer'> 4 </cn> </apply> </apply> <apply> <times /> <cn type='integer'> -1 </cn> <apply> <times /> <cn type='integer'> 36 </cn> <apply> <power /> <ci> z </ci> <cn type='integer'> 5 </cn> </apply> </apply> </apply> <apply> <power /> <ci> z </ci> <cn type='integer'> 6 </cn> </apply> </apply> </apply> </apply> </annotation-xml> </semantics> </math>

Cell[BoxData[RowBox[List[RowBox[List["HoldPattern", "[", RowBox[List["LaguerreL", "[", RowBox[List["6", ",", "z_"]], "]"]], "]"]], "\[RuleDelayed]", RowBox[List[FractionBox["1", "720"], " ", RowBox[List["(", RowBox[List["720", "-", RowBox[List["4320", " ", "z"]], "+", RowBox[List["5400", " ", SuperscriptBox["z", "2"]]], "-", RowBox[List["2400", " ", SuperscriptBox["z", "3"]]], "+", RowBox[List["450", " ", SuperscriptBox["z", "4"]]], "-", RowBox[List["36", " ", SuperscriptBox["z", "5"]]], "+", SuperscriptBox["z", "6"]]], ")"]]]]]]]]

2001-10-29