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 BesselI

 http://functions.wolfram.com/03.02.26.0066.01

 Input Form

 BesselI[\[Nu], z] == StruveL[-\[Nu], z] /; Element[\[Nu] - 1/2, Integers] && \[Nu] - 1/2 >= 0

 Standard Form

 Cell[BoxData[RowBox[List[RowBox[List[RowBox[List["BesselI", "[", RowBox[List["\[Nu]", ",", "z"]], "]"]], "\[Equal]", RowBox[List["StruveL", "[", RowBox[List[RowBox[List["-", "\[Nu]"]], ",", "z"]], "]"]]]], "/;", " ", RowBox[List[RowBox[List[RowBox[List["\[Nu]", "-", FractionBox["1", "2"]]], "\[Element]", "Integers"]], "\[And]", RowBox[List[RowBox[List["\[Nu]", "-", FractionBox["1", "2"]]], "\[GreaterEqual]", "0"]]]]]]]]

 MathML Form

 I ν ( z ) L StruveL - ν ( z ) /; ν - 1 2 Condition BesselI ν z StruveL -1 ν z ν -1 1 2 [/itex]

 Rule Form

 Cell[BoxData[RowBox[List[RowBox[List["HoldPattern", "[", RowBox[List["BesselI", "[", RowBox[List["\[Nu]_", ",", "z_"]], "]"]], "]"]], "\[RuleDelayed]", RowBox[List[RowBox[List["StruveL", "[", RowBox[List[RowBox[List["-", "\[Nu]"]], ",", "z"]], "]"]], "/;", RowBox[List[RowBox[List[RowBox[List["\[Nu]", "-", FractionBox["1", "2"]]], "\[Element]", "Integers"]], "&&", RowBox[List[RowBox[List["\[Nu]", "-", FractionBox["1", "2"]]], "\[GreaterEqual]", "0"]]]]]]]]]]

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

 2001-10-29