html, body, form { margin: 0; padding: 0; width: 100%; } #calculate { position: relative; width: 177px; height: 110px; background: transparent url(/images/alphabox/embed_functions_inside.gif) no-repeat scroll 0 0; } #i { position: relative; left: 18px; top: 44px; width: 133px; border: 0 none; outline: 0; font-size: 11px; } #eq { width: 9px; height: 10px; background: transparent; position: absolute; top: 47px; right: 18px; cursor: pointer; }

 BesselK

 http://functions.wolfram.com/03.04.17.0005.01

 Input Form

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

 Standard Form

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

 MathML Form

 K ν ( z ) z 2 ν ( K ν + 1 ( z ) - K ν - 1 ( z ) ) BesselK ν z z 2 ν -1 BesselK 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]", FractionBox[RowBox[List["z", " ", RowBox[List["(", RowBox[List[RowBox[List["BesselK", "[", RowBox[List[RowBox[List["\[Nu]", "+", "1"]], ",", "z"]], "]"]], "-", RowBox[List["BesselK", "[", RowBox[List[RowBox[List["\[Nu]", "-", "1"]], ",", "z"]], "]"]]]], ")"]]]], RowBox[List["2", " ", "\[Nu]"]]]]]]]

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

 2001-10-29