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 Sinh

 http://functions.wolfram.com/01.19.27.0064.01

 Input Form

 Sinh[z] == Sqrt[1/z^2] ((z Sqrt[1 - Sech[z]^2])/Sech[z]) /; Re[z] != 0

 Standard Form

 Cell[BoxData[RowBox[List[RowBox[List[RowBox[List["Sinh", "[", "z", "]"]], "\[Equal]", RowBox[List[SqrtBox[FractionBox["1", SuperscriptBox["z", "2"]]], FractionBox[RowBox[List["z", " ", SqrtBox[RowBox[List["1", "-", SuperscriptBox[RowBox[List["Sech", "[", "z", "]"]], "2"]]]]]], RowBox[List["Sech", "[", "z", "]"]]]]]]], "/;", RowBox[List[RowBox[List["Re", "[", "z", "]"]], "\[NotEqual]", "0"]]]]]]

 MathML Form

 sinh ( z ) z 1 z 2 1 - sech 2 ( z ) sech ( z ) /; Re ( z ) 0 Condition z z 1 z 2 -1 1 2 1 -1 z 2 1 2 z -1 z 0 [/itex]

 Rule Form

 Cell[BoxData[RowBox[List[RowBox[List["HoldPattern", "[", RowBox[List["Sinh", "[", "z_", "]"]], "]"]], "\[RuleDelayed]", RowBox[List[FractionBox[RowBox[List[SqrtBox[FractionBox["1", SuperscriptBox["z", "2"]]], " ", RowBox[List["(", RowBox[List["z", " ", SqrtBox[RowBox[List["1", "-", SuperscriptBox[RowBox[List["Sech", "[", "z", "]"]], "2"]]]]]], ")"]]]], RowBox[List["Sech", "[", "z", "]"]]], "/;", RowBox[List[RowBox[List["Re", "[", "z", "]"]], "\[NotEqual]", "0"]]]]]]]]

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

 2001-10-29