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 BesselK

 http://functions.wolfram.com/03.04.20.0008.01

 Input Form

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

 Standard Form

 Cell[BoxData[RowBox[List[RowBox[List[SubscriptBox["\[PartialD]", "z"], RowBox[List["(", RowBox[List[SuperscriptBox["z", "\[Nu]"], " ", RowBox[List["BesselK", "[", RowBox[List["\[Nu]", ",", "z"]], "]"]]]], ")"]]]], "\[Equal]", RowBox[List[RowBox[List["-", SuperscriptBox["z", "\[Nu]"]]], " ", RowBox[List["BesselK", "[", RowBox[List[RowBox[List["\[Nu]", "-", "1"]], ",", "z"]], "]"]]]]]]]]

 MathML Form

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

 Rule Form

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

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

 2001-10-29