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variants of this functions
HermiteH




Mathematica Notation

Traditional Notation









Hypergeometric Functions > HermiteH[nu,z] > Specific values > Specialized values > For fixed z > Explicit integer nu





http://functions.wolfram.com/07.01.03.0012.01









  


  








Input Form





HermiteH[10, z] == -30240 + 302400 z^2 - 403200 z^4 + 161280 z^6 - 23040 z^8 + 1024 z^10








Standard Form





Cell[BoxData[RowBox[List[RowBox[List["HermiteH", "[", RowBox[List["10", ",", "z"]], "]"]], "\[Equal]", RowBox[List[RowBox[List["-", "30240"]], "+", RowBox[List["302400", " ", SuperscriptBox["z", "2"]]], "-", RowBox[List["403200", " ", SuperscriptBox["z", "4"]]], "+", RowBox[List["161280", " ", SuperscriptBox["z", "6"]]], "-", RowBox[List["23040", " ", SuperscriptBox["z", "8"]]], "+", RowBox[List["1024", " ", SuperscriptBox["z", "10"]]]]]]]]]








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> 10 </mn> </msub> <mo> ( </mo> <mi> z </mi> <mo> ) </mo> </mrow> <mo> &#10869; </mo> <mrow> <mrow> <mo> - </mo> <mn> 30240 </mn> </mrow> <mo> + </mo> <mrow> <mn> 302400 </mn> <mo> &#8290; </mo> <msup> <mi> z </mi> <mn> 2 </mn> </msup> </mrow> <mo> - </mo> <mrow> <mn> 403200 </mn> <mo> &#8290; </mo> <msup> <mi> z </mi> <mn> 4 </mn> </msup> </mrow> <mo> + </mo> <mrow> <mn> 161280 </mn> <mo> &#8290; </mo> <msup> <mi> z </mi> <mn> 6 </mn> </msup> </mrow> <mo> - </mo> <mrow> <mn> 23040 </mn> <mo> &#8290; </mo> <msup> <mi> z </mi> <mn> 8 </mn> </msup> </mrow> <mo> + </mo> <mrow> <mn> 1024 </mn> <mo> &#8290; </mo> <msup> <mi> z </mi> <mn> 10 </mn> </msup> </mrow> </mrow> </mrow> <annotation-xml encoding='MathML-Content'> <apply> <eq /> <apply> <ci> HermiteH </ci> <cn type='integer'> 10 </cn> <ci> z </ci> </apply> <apply> <plus /> <cn type='integer'> -30240 </cn> <apply> <times /> <cn type='integer'> 302400 </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'> 403200 </cn> <apply> <power /> <ci> z </ci> <cn type='integer'> 4 </cn> </apply> </apply> </apply> <apply> <times /> <cn type='integer'> 161280 </cn> <apply> <power /> <ci> z </ci> <cn type='integer'> 6 </cn> </apply> </apply> <apply> <times /> <cn type='integer'> -1 </cn> <apply> <times /> <cn type='integer'> 23040 </cn> <apply> <power /> <ci> z </ci> <cn type='integer'> 8 </cn> </apply> </apply> </apply> <apply> <times /> <cn type='integer'> 1024 </cn> <apply> <power /> <ci> z </ci> <cn type='integer'> 10 </cn> </apply> </apply> </apply> </apply> </annotation-xml> </semantics> </math>










Rule Form





Cell[BoxData[RowBox[List[RowBox[List["HoldPattern", "[", RowBox[List["HermiteH", "[", RowBox[List["10", ",", "z_"]], "]"]], "]"]], "\[RuleDelayed]", RowBox[List[RowBox[List["-", "30240"]], "+", RowBox[List["302400", " ", SuperscriptBox["z", "2"]]], "-", RowBox[List["403200", " ", SuperscriptBox["z", "4"]]], "+", RowBox[List["161280", " ", SuperscriptBox["z", "6"]]], "-", RowBox[List["23040", " ", SuperscriptBox["z", "8"]]], "+", RowBox[List["1024", " ", SuperscriptBox["z", "10"]]]]]]]]]


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





2001-10-29