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 Sinh

 http://functions.wolfram.com/01.19.27.0034.01

 Input Form

 Sinh[z] == Sqrt[(Cosh[2 z] - 1)/2] /; Re[z] > 0 && Abs[Im[z]] < Pi/2

 Standard Form

 Cell[BoxData[RowBox[List[RowBox[List[RowBox[List["Sinh", "[", "z", "]"]], "\[Equal]", SqrtBox[FractionBox[RowBox[List[RowBox[List["Cosh", "[", RowBox[List["2", " ", "z"]], "]"]], "-", "1"]], "2"]]]], "/;", RowBox[List[RowBox[List[RowBox[List["Re", "[", "z", "]"]], ">", "0"]], "&&", RowBox[List[RowBox[List["Abs", "[", RowBox[List["Im", "[", "z", "]"]], "]"]], "<", FractionBox["\[Pi]", "2"]]]]]]]]]

 MathML Form

 sinh ( z ) cosh ( 2 z ) - 1 2 /; Re ( z ) > 0 "\[LeftBracketingBar]" Im ( z ) "\[RightBracketingBar]" < π 2 Condition z 2 z -1 2 -1 1 2 z 0 z 2 -1 [/itex]

 Rule Form

 Cell[BoxData[RowBox[List[RowBox[List["HoldPattern", "[", RowBox[List["Sinh", "[", "z_", "]"]], "]"]], "\[RuleDelayed]", RowBox[List[SqrtBox[RowBox[List[FractionBox["1", "2"], " ", RowBox[List["(", RowBox[List[RowBox[List["Cosh", "[", RowBox[List["2", " ", "z"]], "]"]], "-", "1"]], ")"]]]]], "/;", RowBox[List[RowBox[List[RowBox[List["Re", "[", "z", "]"]], ">", "0"]], "&&", RowBox[List[RowBox[List["Abs", "[", RowBox[List["Im", "[", "z", "]"]], "]"]], "<", FractionBox["\[Pi]", "2"]]]]]]]]]]]

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

 2001-10-29