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 BesselK

 http://functions.wolfram.com/03.04.17.0002.01

 Input Form

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

 Standard Form

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

 MathML Form

 K ν ( z ) K ν - 2 ( z ) + 2 ( ν - 1 ) z K ν - 1 ( z ) BesselK ν z BesselK ν -2 z 2 ν -1 z -1 BesselK ν -1 z [/itex]

 Rule Form

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

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

 2001-10-29