html, body, form { margin: 0; padding: 0; width: 100%; } #calculate { position: relative; width: 177px; height: 110px; background: transparent url(/images/alphabox/embed_functions_inside.gif) no-repeat scroll 0 0; } #i { position: relative; left: 18px; top: 44px; width: 133px; border: 0 none; outline: 0; font-size: 11px; } #eq { width: 9px; height: 10px; background: transparent; position: absolute; top: 47px; right: 18px; cursor: pointer; }

 Erf

 http://functions.wolfram.com/06.25.22.0001.01

 Input Form

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

 Standard Form

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

 MathML Form

 t [ erf ( t ) ] ( z ) 1 z z 2 4 erfc ( z 2 ) /; Re ( z ) > 0 Condition LaplaceTransform Erf t t z 1 z -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["Erf", "[", "t_", "]"]], ",", "t_", ",", "z_"]], "]"]], "]"]], "\[RuleDelayed]", RowBox[List[FractionBox[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