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 BesselY

 http://functions.wolfram.com/03.03.07.0004.01

 Input Form

 BesselY[0, x] == (-(2/Pi)) Integrate[Cos[x Cosh[t]], {t, 0, Infinity}] /; x > 0

 Standard Form

 Cell[BoxData[RowBox[List[RowBox[List[RowBox[List["BesselY", "[", RowBox[List["0", ",", "x"]], "]"]], "\[Equal]", RowBox[List[RowBox[List["-", FractionBox[RowBox[List["2", " "]], "\[Pi]"]]], RowBox[List[SubsuperscriptBox["\[Integral]", "0", "\[Infinity]"], RowBox[List[RowBox[List["Cos", "[", RowBox[List["x", " ", RowBox[List["Cosh", "[", "t", "]"]]]], "]"]], RowBox[List["\[DifferentialD]", "t"]]]]]]]]]], "/;", RowBox[List["x", ">", "0"]]]]]]

 MathML Form

 Y 0 ( x ) - 2 π 0 cos ( x cosh ( t ) ) t /; x > 0 Condition BesselY 0 x -1 2 -1 t 0 x t x 0 [/itex]

 Rule Form

 Cell[BoxData[RowBox[List[RowBox[List["HoldPattern", "[", RowBox[List["BesselY", "[", RowBox[List["0", ",", "x_"]], "]"]], "]"]], "\[RuleDelayed]", RowBox[List[RowBox[List["-", FractionBox[RowBox[List["2", " ", RowBox[List[SubsuperscriptBox["\[Integral]", "0", "\[Infinity]"], RowBox[List[RowBox[List["Cos", "[", RowBox[List["x", " ", RowBox[List["Cosh", "[", "t", "]"]]]], "]"]], RowBox[List["\[DifferentialD]", "t"]]]]]]]], "\[Pi]"]]], "/;", RowBox[List["x", ">", "0"]]]]]]]]

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

 2001-10-29