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 ArcCsch

 http://functions.wolfram.com/01.29.06.0017.02

 Input Form

 ArcCsch[z]^2 \[Proportional] 1/z^2 - 1/(3 z^4) + 8/(45 z^6) - \[Ellipsis] /; Abs[z] -> Infinity

 Standard Form

 Cell[BoxData[RowBox[List[RowBox[List[RowBox[List[SuperscriptBox[RowBox[List["ArcCsch", "[", "z", "]"]], "2"], "\[Proportional]", RowBox[List[FractionBox["1", SuperscriptBox["z", "2"]], "-", FractionBox["1", RowBox[List["3", SuperscriptBox["z", "4"]]]], "+", FractionBox["8", RowBox[List["45", SuperscriptBox["z", "6"]]]], "-", "\[Ellipsis]"]]]], "/;", RowBox[List["Abs", "[", "z", "]"]]]], "\[Rule]", "\[Infinity]"]]]]

 MathML Form

 csch - 1 ( z ) 2 1 z 2 - 1 3 z 4 + 8 45 z 6 - /; "\[LeftBracketingBar]" z "\[RightBracketingBar]" "\[Rule]" Rule Condition Proportional z 2 1 z 2 -1 -1 1 3 z 4 -1 8 45 z 6 -1 -1 z [/itex]

 Rule Form

 Cell[BoxData[RowBox[List[RowBox[List[RowBox[List[SuperscriptBox[RowBox[List["ArcCsch", "[", "z", "]"]], "2"], "\[Proportional]", RowBox[List[FractionBox["1", SuperscriptBox["z", "2"]], "-", FractionBox["1", RowBox[List["3", " ", SuperscriptBox["z", "4"]]]], "+", FractionBox["8", RowBox[List["45", " ", SuperscriptBox["z", "6"]]]], "-", "\[Ellipsis]"]]]], "/;", RowBox[List["Abs", "[", "z", "]"]]]], "\[Rule]", "\[Infinity]"]]]]

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

 2001-10-29

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