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 HermiteH

 http://functions.wolfram.com/05.01.27.0002.01

 Input Form

 HermiteH[2 n, z] == (-1)^n 2^(2 n) n! LaguerreL[n, -(1/2), z^2]

 Standard Form

 Cell[BoxData[RowBox[List[RowBox[List["HermiteH", "[", RowBox[List[RowBox[List["2", "n"]], ",", "z"]], "]"]], "\[Equal]", RowBox[List[SuperscriptBox[RowBox[List["(", RowBox[List["-", "1"]], ")"]], "n"], " ", SuperscriptBox["2", RowBox[List["2", " ", "n"]]], " ", RowBox[List["n", "!"]], " ", RowBox[List["LaguerreL", "[", RowBox[List["n", ",", RowBox[List["-", FractionBox["1", "2"]]], ",", " ", SuperscriptBox["z", "2"]]], "]"]]]]]]]]

 MathML Form

 H 2 n ( z ) ( - 1 ) n 2 2 n n ! L n - 1 2 ( z 2 ) HermiteH 2 n z -1 n 2 2 n n LaguerreL n -1 1 2 z 2 [/itex]

 Rule Form

 Cell[BoxData[RowBox[List[RowBox[List["HoldPattern", "[", RowBox[List["HermiteH", "[", RowBox[List[RowBox[List["2", " ", "n_"]], ",", "z_"]], "]"]], "]"]], "\[RuleDelayed]", RowBox[List[SuperscriptBox[RowBox[List["(", RowBox[List["-", "1"]], ")"]], "n"], " ", SuperscriptBox["2", RowBox[List["2", " ", "n"]]], " ", RowBox[List["n", "!"]], " ", RowBox[List["LaguerreL", "[", RowBox[List["n", ",", RowBox[List["-", FractionBox["1", "2"]]], ",", SuperscriptBox["z", "2"]]], "]"]]]]]]]]

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

 2001-10-29