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 ArcSin

 http://functions.wolfram.com/01.12.27.1171.01

 Input Form

 ArcSin[(z^2 + 2)/z^2] == Pi/2 - 2 I ArcSinh[1/z] /; Inequality[0, LessEqual, Arg[z], Less, Pi]

 Standard Form

 Cell[BoxData[RowBox[List[RowBox[List[RowBox[List["ArcSin", "[", FractionBox[RowBox[List[SuperscriptBox["z", "2"], "+", "2"]], SuperscriptBox["z", "2"]], "]"]], "\[Equal]", RowBox[List[FractionBox["\[Pi]", "2"], "-", RowBox[List["2", " ", "\[ImaginaryI]", " ", RowBox[List["ArcSinh", "[", FractionBox["1", "z"], "]"]]]]]]]], "/;", RowBox[List["0", "\[LessEqual]", RowBox[List["Arg", "[", "z", "]"]], "<", "\[Pi]"]]]]]]

 MathML Form

 sin - 1 ( z 2 + 2 z 2 ) π 2 - 2 sinh - 1 ( 1 z ) /; 0 arg ( z ) < π Condition z 2 2 z 2 -1 2 -1 -1 2 1 z -1 Inequality 0 z [/itex]

 Rule Form

 Cell[BoxData[RowBox[List[RowBox[List["HoldPattern", "[", RowBox[List["ArcSin", "[", FractionBox[RowBox[List[SuperscriptBox["z_", "2"], "+", "2"]], SuperscriptBox["z_", "2"]], "]"]], "]"]], "\[RuleDelayed]", RowBox[List[RowBox[List[FractionBox["\[Pi]", "2"], "-", RowBox[List["2", " ", "\[ImaginaryI]", " ", RowBox[List["ArcSinh", "[", FractionBox["1", "z"], "]"]]]]]], "/;", RowBox[List["0", "\[LessEqual]", RowBox[List["Arg", "[", "z", "]"]], "<", "\[Pi]"]]]]]]]]

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

 2003-08-21