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 ArcCsch

 http://functions.wolfram.com/01.29.27.0740.01

 Input Form

 ArcCsch[Sqrt[-z - 1]] == (Sqrt[-z - 1]/Sqrt[1 + z]) (-(Pi/2) + ArcCot[1/Sqrt[z]])

 Standard Form

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

 MathML Form

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

 Rule Form

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

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

 2003-08-21