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 Erfc

 http://functions.wolfram.com/06.27.22.0003.01

 Input Form

 FourierSinTransform[Erfc[t], t, x] == Sqrt[2/Pi] ((1 - E^(-(x^2/4)))/x) /; Im[x] == 0

 Standard Form

 Cell[BoxData[RowBox[List[RowBox[List[RowBox[List["FourierSinTransform", "[", RowBox[List[RowBox[List["Erfc", "[", "t", "]"]], ",", "t", ",", "x"]], "]"]], "\[Equal]", RowBox[List[SqrtBox[FractionBox["2", "\[Pi]"]], FractionBox[RowBox[List["1", "-", SuperscriptBox["\[ExponentialE]", RowBox[List["-", FractionBox[SuperscriptBox["x", "2"], "4"]]]]]], "x"]]]]], "/;", RowBox[List[RowBox[List["Im", "[", "x", "]"]], "\[Equal]", "0"]]]]]]

 MathML Form

 ℱ𝓈 t [ erfc ( t ) ] ( x ) 2 π 1 x ( 1 - - x 2 4 ) /; Im ( x ) 0 Condition Subscript ℱ𝓈 t Erfc t x 2 -1 1 2 1 x -1 1 -1 -1 x 2 4 -1 x 0 [/itex]

 Rule Form

 Cell[BoxData[RowBox[List[RowBox[List["HoldPattern", "[", RowBox[List["FourierSinTransform", "[", RowBox[List[RowBox[List["Erfc", "[", "t_", "]"]], ",", "t_", ",", "x_"]], "]"]], "]"]], "\[RuleDelayed]", RowBox[List[FractionBox[RowBox[List[SqrtBox[FractionBox["2", "\[Pi]"]], " ", RowBox[List["(", RowBox[List["1", "-", SuperscriptBox["\[ExponentialE]", RowBox[List["-", FractionBox[SuperscriptBox["x", "2"], "4"]]]]]], ")"]]]], "x"], "/;", RowBox[List[RowBox[List["Im", "[", "x", "]"]], "\[Equal]", "0"]]]]]]]]

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

 2001-10-29