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variants of this functions
HermiteH




Mathematica Notation

Traditional Notation









Polynomials > HermiteH[n,z] > Specific values > Specialized values > For fixed z





http://functions.wolfram.com/05.01.03.0010.01









  


  








Input Form





HermiteH[8, z] == 1680 - 13440 z^2 + 13440 z^4 - 3584 z^6 + 256 z^8








Standard Form





Cell[BoxData[RowBox[List[RowBox[List["HermiteH", "[", RowBox[List["8", ",", "z"]], "]"]], "\[Equal]", RowBox[List["1680", "-", RowBox[List["13440", " ", SuperscriptBox["z", "2"]]], "+", RowBox[List["13440", " ", SuperscriptBox["z", "4"]]], "-", RowBox[List["3584", " ", SuperscriptBox["z", "6"]]], "+", RowBox[List["256", " ", SuperscriptBox["z", "8"]]]]]]]]]








MathML Form







<math xmlns='http://www.w3.org/1998/Math/MathML' mathematica:form='TraditionalForm' xmlns:mathematica='http://www.wolfram.com/XML/'> <semantics> <mrow> <mrow> <msub> <mi> H </mi> <mn> 8 </mn> </msub> <mo> ( </mo> <mi> z </mi> <mo> ) </mo> </mrow> <mo> &#10869; </mo> <mrow> <mn> 1680 </mn> <mo> - </mo> <mrow> <mn> 13440 </mn> <mo> &#8290; </mo> <msup> <mi> z </mi> <mn> 2 </mn> </msup> </mrow> <mo> + </mo> <mrow> <mn> 13440 </mn> <mo> &#8290; </mo> <msup> <mi> z </mi> <mn> 4 </mn> </msup> </mrow> <mo> - </mo> <mrow> <mn> 3584 </mn> <mo> &#8290; </mo> <msup> <mi> z </mi> <mn> 6 </mn> </msup> </mrow> <mo> + </mo> <mrow> <mn> 256 </mn> <mo> &#8290; </mo> <msup> <mi> z </mi> <mn> 8 </mn> </msup> </mrow> </mrow> </mrow> <annotation-xml encoding='MathML-Content'> <apply> <eq /> <apply> <ci> HermiteH </ci> <cn type='integer'> 8 </cn> <ci> z </ci> </apply> <apply> <plus /> <cn type='integer'> 1680 </cn> <apply> <times /> <cn type='integer'> -1 </cn> <apply> <times /> <cn type='integer'> 13440 </cn> <apply> <power /> <ci> z </ci> <cn type='integer'> 2 </cn> </apply> </apply> </apply> <apply> <times /> <cn type='integer'> 13440 </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'> 3584 </cn> <apply> <power /> <ci> z </ci> <cn type='integer'> 6 </cn> </apply> </apply> </apply> <apply> <times /> <cn type='integer'> 256 </cn> <apply> <power /> <ci> z </ci> <cn type='integer'> 8 </cn> </apply> </apply> </apply> </apply> </annotation-xml> </semantics> </math>










Rule Form





Cell[BoxData[RowBox[List[RowBox[List["HoldPattern", "[", RowBox[List["HermiteH", "[", RowBox[List["8", ",", "z_"]], "]"]], "]"]], "\[RuleDelayed]", RowBox[List["1680", "-", RowBox[List["13440", " ", SuperscriptBox["z", "2"]]], "+", RowBox[List["13440", " ", SuperscriptBox["z", "4"]]], "-", RowBox[List["3584", " ", SuperscriptBox["z", "6"]]], "+", RowBox[List["256", " ", SuperscriptBox["z", "8"]]]]]]]]]


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





2001-10-29