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 BesselJ

 http://functions.wolfram.com/03.01.20.0004.01

 Input Form

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

 Standard Form

 Cell[BoxData[RowBox[List[RowBox[List[SubscriptBox["\[PartialD]", "z"], RowBox[List["BesselJ", "[", RowBox[List["\[Nu]", ",", "z"]], "]"]]]], "\[Equal]", RowBox[List[RowBox[List["BesselJ", "[", RowBox[List[RowBox[List["\[Nu]", "-", "1"]], ",", "z"]], "]"]], "-", RowBox[List[FractionBox["\[Nu]", "z"], " ", RowBox[List["BesselJ", "[", RowBox[List["\[Nu]", ",", "z"]], "]"]]]]]]]]]]

 MathML Form

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

 Rule Form

 Cell[BoxData[RowBox[List[RowBox[List["HoldPattern", "[", RowBox[List[SubscriptBox["\[PartialD]", RowBox[List["z_"]]], RowBox[List["BesselJ", "[", RowBox[List["\[Nu]_", ",", "z_"]], "]"]]]], "]"]], "\[RuleDelayed]", RowBox[List[RowBox[List["BesselJ", "[", RowBox[List[RowBox[List["\[Nu]", "-", "1"]], ",", "z"]], "]"]], "-", FractionBox[RowBox[List["\[Nu]", " ", RowBox[List["BesselJ", "[", RowBox[List["\[Nu]", ",", "z"]], "]"]]]], "z"]]]]]]]

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

 2001-10-29

© 1998-2013 Wolfram Research, Inc.