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 BesselI

 http://functions.wolfram.com/03.02.16.0003.01

 Input Form

 BesselI[\[Nu], (-I) z] == (((-I) z)^\[Nu] BesselJ[\[Nu], z])/z^\[Nu]

 Standard Form

 Cell[BoxData[RowBox[List[RowBox[List["BesselI", "[", RowBox[List["\[Nu]", ",", RowBox[List[RowBox[List["-", "\[ImaginaryI]"]], " ", "z"]]]], "]"]], "\[Equal]", RowBox[List[SuperscriptBox[RowBox[List["(", RowBox[List[RowBox[List["-", "\[ImaginaryI]"]], " ", "z"]], ")"]], "\[Nu]"], " ", SuperscriptBox["z", RowBox[List["-", "\[Nu]"]]], RowBox[List["BesselJ", "[", RowBox[List["\[Nu]", ",", "z"]], "]"]]]]]]]]

 MathML Form

 I ν ( - z ) ( - z ) ν z ν J ν ( z ) BesselI ν -1 z -1 z ν z ν -1 BesselJ ν z [/itex]

 Rule Form

 Cell[BoxData[RowBox[List[RowBox[List["HoldPattern", "[", RowBox[List["BesselI", "[", RowBox[List["\[Nu]_", ",", RowBox[List[RowBox[List["-", "\[ImaginaryI]"]], " ", "z_"]]]], "]"]], "]"]], "\[RuleDelayed]", RowBox[List[SuperscriptBox[RowBox[List["(", RowBox[List[RowBox[List["-", "\[ImaginaryI]"]], " ", "z"]], ")"]], "\[Nu]"], " ", SuperscriptBox["z", RowBox[List["-", "\[Nu]"]]], " ", RowBox[List["BesselJ", "[", RowBox[List["\[Nu]", ",", "z"]], "]"]]]]]]]]

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

 2001-10-29