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 BesselK

 http://functions.wolfram.com/03.04.20.0005.01

 Input Form

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

 Standard Form

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

 MathML Form

 K ν ( z ) z ν z K ν ( z ) - K ν + 1 ( z ) z BesselK ν z ν z -1 BesselK ν z -1 BesselK ν 1 z [/itex]

 Rule Form

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

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

 2001-10-29