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 Sinh

 http://functions.wolfram.com/01.19.16.0085.01

 Input Form

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

 Standard Form

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

 MathML Form

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

 Rule Form

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

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

 2001-10-29