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 BesselI

 http://functions.wolfram.com/03.02.17.0005.01

 Input Form

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

 Standard Form

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

 MathML Form

 I ν ( z ) z ( I ν - 1 ( z ) - I ν + 1 ( z ) ) 2 ν BesselI ν z z BesselI ν -1 z -1 BesselI ν 1 z 2 ν -1 [/itex]

 Rule Form

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

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

 2001-10-29