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 Sinh

 http://functions.wolfram.com/01.19.16.0110.01

 Input Form

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

 Standard Form

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

 MathML Form

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

 Rule Form

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

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

 2001-10-29

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