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 ArcCsch

 http://functions.wolfram.com/01.29.06.0012.02

 Input Form

 ArcCsch[z] \[Proportional] (I Pi)/2 - I Sqrt[2] Sqrt[I (z + I)] (1 + O[z + I])

 Standard Form

 Cell[BoxData[RowBox[List[RowBox[List["ArcCsch", "[", "z", "]"]], "\[Proportional]", RowBox[List[FractionBox[RowBox[List["\[ImaginaryI]", " ", "\[Pi]"]], "2"], "-", RowBox[List["\[ImaginaryI]", " ", SqrtBox["2"], SqrtBox[RowBox[List["\[ImaginaryI]", " ", RowBox[List["(", RowBox[List["z", "+", "\[ImaginaryI]"]], ")"]]]]], RowBox[List["(", RowBox[List["1", "+", RowBox[List["O", "[", RowBox[List["z", "+", "\[ImaginaryI]"]], "]"]]]], ")"]]]]]]]]]]

 MathML Form

 csch - 1 ( z ) π 2 - 2 ( z + ) ( 1 + O ( z + ) ) Proportional z 2 -1 -1 2 1 2 z 1 2 1 O z [/itex]

 Rule Form

 Cell[BoxData[RowBox[List[RowBox[List["HoldPattern", "[", RowBox[List["ArcCsch", "[", "z_", "]"]], "]"]], "\[RuleDelayed]", RowBox[List[FractionBox[RowBox[List["\[ImaginaryI]", " ", "\[Pi]"]], "2"], "-", RowBox[List["\[ImaginaryI]", " ", SqrtBox["2"], " ", SqrtBox[RowBox[List["\[ImaginaryI]", " ", RowBox[List["(", RowBox[List["z", "+", "\[ImaginaryI]"]], ")"]]]]], " ", RowBox[List["(", RowBox[List["1", "+", RowBox[List["O", "[", RowBox[List["z", "+", "\[ImaginaryI]"]], "]"]]]], ")"]]]]]]]]]]

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

 2001-10-29

© 1998-2013 Wolfram Research, Inc.