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 Erf

 http://functions.wolfram.com/06.25.22.0002.01

 Input Form

 MellinTransform[Erf[t], t, z] == (-(1/(Sqrt[Pi] z))) Gamma[(z + 1)/2] /; -1 < Re[z] < 0

 Standard Form

 Cell[BoxData[RowBox[List[RowBox[List[RowBox[List["MellinTransform", "[", RowBox[List[RowBox[List["Erf", "[", "t", "]"]], ",", "t", ",", "z"]], "]"]], "\[Equal]", RowBox[List[RowBox[List["-", FractionBox["1", RowBox[List[SqrtBox["\[Pi]"], " ", "z"]]]]], RowBox[List["Gamma", "[", FractionBox[RowBox[List["z", "+", "1"]], "2"], "]"]]]]]], "/;", RowBox[List[RowBox[List["-", "1"]], "<", RowBox[List["Re", "[", "z", "]"]], "<", "0"]]]]]]

 MathML Form

 t [ erf ( t ) ] ( z ) - 1 π z Γ ( z + 1 2 ) /; - 1 < Re ( z ) < 0 Condition Subscript t Erf t z -1 1 1 2 z -1 Gamma z 1 2 -1 -1 z 0 [/itex]

 Rule Form

 Cell[BoxData[RowBox[List[RowBox[List["HoldPattern", "[", RowBox[List["MellinTransform", "[", RowBox[List[RowBox[List["Erf", "[", "t_", "]"]], ",", "t_", ",", "z_"]], "]"]], "]"]], "\[RuleDelayed]", RowBox[List[RowBox[List["-", FractionBox[RowBox[List["Gamma", "[", FractionBox[RowBox[List["z", "+", "1"]], "2"], "]"]], RowBox[List[SqrtBox["\[Pi]"], " ", "z"]]]]], "/;", RowBox[List[RowBox[List["-", "1"]], "<", RowBox[List["Re", "[", "z", "]"]], "<", "0"]]]]]]]]

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

 2001-10-29