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 BesselJ

 http://functions.wolfram.com/03.01.21.0078.01

 Input Form

 Integrate[BesselJ[\[Nu], t]^2/t, {t, 0, Infinity}] == 1/(2 \[Nu]) /; Re[\[Nu]] > 0

 Standard Form

 Cell[BoxData[RowBox[List[RowBox[List[RowBox[List[SubsuperscriptBox["\[Integral]", "0", "\[Infinity]"], RowBox[List[FractionBox[SuperscriptBox[RowBox[List["BesselJ", "[", RowBox[List["\[Nu]", ",", "t"]], "]"]], "2"], "t"], RowBox[List["\[DifferentialD]", "t"]]]]]], "\[Equal]", FractionBox["1", RowBox[List["2", " ", "\[Nu]"]]]]], "/;", RowBox[List[RowBox[List["Re", "[", "\[Nu]", "]"]], ">", "0"]]]]]]

 MathML Form

 0 J ν ( t ) 2 t t 1 2 ν /; Re ( ν ) > 0 Condition t 0 BesselJ ν t 2 t -1 1 2 ν -1 ν 0 [/itex]

 Rule Form

 Cell[BoxData[RowBox[List[RowBox[List["HoldPattern", "[", RowBox[List[SubsuperscriptBox["\[Integral]", "0", "\[Infinity]"], RowBox[List[FractionBox[SuperscriptBox[RowBox[List["BesselJ", "[", RowBox[List["\[Nu]_", ",", "t_"]], "]"]], "2"], "t_"], RowBox[List["\[DifferentialD]", "t_"]]]]]], "]"]], "\[RuleDelayed]", RowBox[List[FractionBox["1", RowBox[List["2", " ", "\[Nu]"]]], "/;", RowBox[List[RowBox[List["Re", "[", "\[Nu]", "]"]], ">", "0"]]]]]]]]

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

 2001-10-29