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 Sinh

 http://functions.wolfram.com/01.19.27.0037.01

 Input Form

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

 Standard Form

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

 MathML Form

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

 Rule Form

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

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

 2001-10-29