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 ArcSinh

 http://functions.wolfram.com/01.25.06.0001.02

 Input Form

 ArcSinh[z] \[Proportional] z - z^3/6 + (3 z^5)/40 - \[Ellipsis] /; (z -> 0)

 Standard Form

 Cell[BoxData[RowBox[List[RowBox[List[RowBox[List["ArcSinh", "[", "z", "]"]], "\[Proportional]", RowBox[List["z", "-", FractionBox[SuperscriptBox["z", "3"], "6"], "+", FractionBox[RowBox[List["3", " ", SuperscriptBox["z", "5"]]], "40"], "-", "\[Ellipsis]"]]]], "/;", RowBox[List["(", RowBox[List["z", "\[Rule]", "0"]], ")"]]]]]]

 MathML Form

 sinh - 1 ( z ) z - z 3 6 + 3 z 5 40 - /; ( z "\[Rule]" 0 ) Condition Proportional z z -1 z 3 6 -1 3 z 5 40 -1 -1 Rule z 0 [/itex]

 Rule Form

 Cell[BoxData[RowBox[List[RowBox[List["HoldPattern", "[", RowBox[List["ArcSinh", "[", "z_", "]"]], "]"]], "\[RuleDelayed]", RowBox[List[RowBox[List["z", "-", FractionBox[SuperscriptBox["z", "3"], "6"], "+", FractionBox[RowBox[List["3", " ", SuperscriptBox["z", "5"]]], "40"], "-", "\[Ellipsis]"]], "/;", RowBox[List["(", RowBox[List["z", "\[Rule]", "0"]], ")"]]]]]]]]

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

 2001-10-29