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 BesselJ

 http://functions.wolfram.com/03.01.17.0001.01

 Input Form

 BesselJ[\[Nu], z] == ((2 (\[Nu] + 1))/z) BesselJ[\[Nu] + 1, z] - BesselJ[\[Nu] + 2, z]

 Standard Form

 Cell[BoxData[RowBox[List[RowBox[List["BesselJ", "[", RowBox[List["\[Nu]", ",", "z"]], "]"]], "\[Equal]", RowBox[List[RowBox[List[FractionBox[RowBox[List["2", " ", RowBox[List["(", RowBox[List["\[Nu]", "+", "1"]], ")"]]]], "z"], RowBox[List["BesselJ", "[", RowBox[List[RowBox[List["\[Nu]", "+", "1"]], ",", "z"]], "]"]]]], "-", RowBox[List["BesselJ", "[", RowBox[List[RowBox[List["\[Nu]", "+", "2"]], ",", "z"]], "]"]]]]]]]]

 MathML Form

 J ν ( z ) 2 ( ν + 1 ) z J ν + 1 ( z ) - J ν + 2 ( z ) BesselJ ν z 2 ν 1 z -1 BesselJ ν 1 z -1 BesselJ ν 2 z [/itex]

 Rule Form

 Cell[BoxData[RowBox[List[RowBox[List["HoldPattern", "[", RowBox[List["BesselJ", "[", RowBox[List["\[Nu]_", ",", "z_"]], "]"]], "]"]], "\[RuleDelayed]", RowBox[List[FractionBox[RowBox[List[RowBox[List["(", RowBox[List["2", " ", RowBox[List["(", RowBox[List["\[Nu]", "+", "1"]], ")"]]]], ")"]], " ", RowBox[List["BesselJ", "[", RowBox[List[RowBox[List["\[Nu]", "+", "1"]], ",", "z"]], "]"]]]], "z"], "-", RowBox[List["BesselJ", "[", RowBox[List[RowBox[List["\[Nu]", "+", "2"]], ",", "z"]], "]"]]]]]]]]

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

 2001-10-29