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 Erfc

 http://functions.wolfram.com/06.27.22.0004.01

 Input Form

 LaplaceTransform[Erfc[t], t, z] == (1 - E^(z^2/4) Erfc[z/2])/z /; Re[z] > 0

 Standard Form

 Cell[BoxData[RowBox[List[RowBox[List[RowBox[List["LaplaceTransform", "[", RowBox[List[RowBox[List["Erfc", "[", "t", "]"]], ",", "t", ",", "z"]], "]"]], "\[Equal]", FractionBox[RowBox[List["1", "-", RowBox[List[SuperscriptBox["\[ExponentialE]", FractionBox[SuperscriptBox["z", "2"], "4"]], " ", RowBox[List["Erfc", "[", FractionBox["z", "2"], "]"]]]]]], "z"]]], "/;", RowBox[List[RowBox[List["Re", "[", "z", "]"]], ">", "0"]]]]]]

 MathML Form

 t [ erfc ( t ) ] ( z ) 1 z ( 1 - z 2 4 erfc ( z 2 ) ) /; Re ( z ) > 0 Condition LaplaceTransform Erfc t t z 1 z -1 1 -1 z 2 4 -1 Erfc z 2 -1 z 0 [/itex]

 Rule Form

 Cell[BoxData[RowBox[List[RowBox[List["HoldPattern", "[", RowBox[List["LaplaceTransform", "[", RowBox[List[RowBox[List["Erfc", "[", "t_", "]"]], ",", "t_", ",", "z_"]], "]"]], "]"]], "\[RuleDelayed]", RowBox[List[FractionBox[RowBox[List["1", "-", RowBox[List[SuperscriptBox["\[ExponentialE]", FractionBox[SuperscriptBox["z", "2"], "4"]], " ", RowBox[List["Erfc", "[", FractionBox["z", "2"], "]"]]]]]], "z"], "/;", RowBox[List[RowBox[List["Re", "[", "z", "]"]], ">", "0"]]]]]]]]

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

 2001-10-29