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 CoshIntegral

 http://functions.wolfram.com/06.40.22.0001.01

 Input Form

 LaplaceTransform[CoshIntegral[t], t, z] == -(Log[z^2 - 1]/(2 z)) /; Re[z] > 1

 Standard Form

 Cell[BoxData[RowBox[List[RowBox[List[RowBox[List["LaplaceTransform", "[", RowBox[List[RowBox[List["CoshIntegral", "[", "t", "]"]], ",", "t", ",", "z"]], "]"]], "\[Equal]", RowBox[List["-", FractionBox[RowBox[List["Log", "[", RowBox[List[SuperscriptBox["z", "2"], "-", "1"]], "]"]], RowBox[List["2", " ", "z"]]]]]]], "/;", RowBox[List[RowBox[List["Re", "[", "z", "]"]], ">", "1"]]]]]]

 MathML Form

 t [ Chi ( t ) ] ( z ) - log ( z 2 - 1 ) 2 z /; Re ( z ) > 1 Condition LaplaceTransform CoshIntegral t t z -1 z 2 -1 2 z -1 z 1 [/itex]

 Rule Form

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

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

 2001-10-29