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 BesselJ

 http://functions.wolfram.com/03.01.17.0005.01

 Input Form

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

 Standard Form

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

 MathML Form

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

 Rule Form

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

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

 2001-10-29