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 BesselY

 http://functions.wolfram.com/03.03.21.0125.01

 Input Form

 Integrate[BesselY[\[Nu], t], {t, 0, Infinity}] == -Tan[(Pi \[Nu])/2] /; Abs[Re[\[Nu]]] < 1

 Standard Form

 Cell[BoxData[RowBox[List[RowBox[List[RowBox[List[SubsuperscriptBox["\[Integral]", "0", "\[Infinity]"], RowBox[List[RowBox[List["BesselY", "[", RowBox[List["\[Nu]", ",", "t"]], "]"]], RowBox[List["\[DifferentialD]", "t"]]]]]], "\[Equal]", RowBox[List["-", RowBox[List["Tan", "[", FractionBox[RowBox[List["\[Pi]", " ", "\[Nu]"]], "2"], "]"]]]]]], "/;", RowBox[List[RowBox[List["Abs", "[", RowBox[List["Re", "[", "\[Nu]", "]"]], "]"]], "<", "1"]]]]]]

 MathML Form

 0 Y ν ( t ) t - tan ( π ν 2 ) /; "\[LeftBracketingBar]" Re ( ν ) "\[RightBracketingBar]" < 1 Condition t 0 BesselY ν t -1 ν 2 -1 ν 1 [/itex]

 Rule Form

 Cell[BoxData[RowBox[List[RowBox[List["HoldPattern", "[", RowBox[List[SubsuperscriptBox["\[Integral]", "0", "\[Infinity]"], RowBox[List[RowBox[List["BesselY", "[", RowBox[List["\[Nu]_", ",", "t_"]], "]"]], RowBox[List["\[DifferentialD]", "t_"]]]]]], "]"]], "\[RuleDelayed]", RowBox[List[RowBox[List["-", RowBox[List["Tan", "[", FractionBox[RowBox[List["\[Pi]", " ", "\[Nu]"]], "2"], "]"]]]], "/;", RowBox[List[RowBox[List["Abs", "[", RowBox[List["Re", "[", "\[Nu]", "]"]], "]"]], "<", "1"]]]]]]]]

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

 2001-10-29