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 SinhIntegral

 http://functions.wolfram.com/06.39.22.0001.01

 Input Form

 LaplaceTransform[SinhIntegral[t], t, z] == ArcTanh[1/z]/z /; Re[z] > 1

 Standard Form

 Cell[BoxData[RowBox[List[RowBox[List[RowBox[List["LaplaceTransform", "[", RowBox[List[RowBox[List["SinhIntegral", "[", "t", "]"]], ",", "t", ",", "z"]], "]"]], "\[Equal]", FractionBox[RowBox[List["ArcTanh", "[", FractionBox["1", "z"], "]"]], "z"]]], "/;", RowBox[List[RowBox[List["Re", "[", "z", "]"]], ">", "1"]]]]]]

 MathML Form

 t [ Shi ( t ) ] ( z ) 1 z tanh - 1 ( 1 z ) /; Re ( z ) > 1 Condition LaplaceTransform SinhIntegral t t z 1 z -1 1 z -1 z 1 [/itex]

 Rule Form

 Cell[BoxData[RowBox[List[RowBox[List["HoldPattern", "[", RowBox[List["LaplaceTransform", "[", RowBox[List[RowBox[List["SinhIntegral", "[", "t_", "]"]], ",", "t_", ",", "z_"]], "]"]], "]"]], "\[RuleDelayed]", RowBox[List[FractionBox[RowBox[List["ArcTanh", "[", FractionBox["1", "z"], "]"]], "z"], "/;", RowBox[List[RowBox[List["Re", "[", "z", "]"]], ">", "1"]]]]]]]]

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

 2001-10-29