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 Sinh

 http://functions.wolfram.com/01.19.27.0035.01

 Input Form

 Sinh[z] == (Sqrt[z^2]/z) Sqrt[(Cosh[2 z] - 1)/2] /; Abs[Im[z]] < Pi/2

 Standard Form

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

 MathML Form

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

 Rule Form

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

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

 2001-10-29