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 Sinh

 http://functions.wolfram.com/01.19.16.0023.01

 Input Form

 Sinh[ArcSinh[z]/2] == (z Sqrt[Sqrt[1 + z^2] - 1])/(Sqrt[2] Sqrt[z^2])

 Standard Form

 Cell[BoxData[RowBox[List[RowBox[List["Sinh", "[", FractionBox[RowBox[List["ArcSinh", "[", "z", "]"]], "2"], "]"]], "\[Equal]", FractionBox[RowBox[List["z", " ", SqrtBox[RowBox[List[SqrtBox[RowBox[List["1", "+", SuperscriptBox["z", "2"]]]], "-", "1"]]]]], RowBox[List[SqrtBox["2"], " ", SqrtBox[SuperscriptBox["z", "2"]]]]]]]]]

 MathML Form

 sinh ( 1 2 sinh - 1 ( z ) ) z 2 z 2 z 2 + 1 - 1 1 2 z z 2 1 2 z 2 1 2 -1 z 2 1 1 2 -1 1 2 [/itex]

 Rule Form

 Cell[BoxData[RowBox[List[RowBox[List["HoldPattern", "[", RowBox[List["Sinh", "[", FractionBox[RowBox[List["ArcSinh", "[", "z_", "]"]], "2"], "]"]], "]"]], "\[RuleDelayed]", FractionBox[RowBox[List["z", " ", SqrtBox[RowBox[List[SqrtBox[RowBox[List["1", "+", SuperscriptBox["z", "2"]]]], "-", "1"]]]]], RowBox[List[SqrtBox["2"], " ", SqrtBox[SuperscriptBox["z", "2"]]]]]]]]]

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

 2001-10-29