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 ArcSin

 http://functions.wolfram.com/01.12.06.0005.02

 Input Form

 ArcSin[z]^2 \[Proportional] z^2 + z^4/3 + (8 z^6)/45 + \[Ellipsis] /; (z -> 0)

 Standard Form

 Cell[BoxData[RowBox[List[RowBox[List[SuperscriptBox[RowBox[List["ArcSin", "[", "z", "]"]], "2"], "\[Proportional]", RowBox[List[SuperscriptBox["z", "2"], "+", FractionBox[SuperscriptBox["z", "4"], "3"], "+", FractionBox[RowBox[List["8", " ", SuperscriptBox["z", "6"]]], "45"], "+", "\[Ellipsis]"]]]], "/;", RowBox[List["(", RowBox[List["z", "\[Rule]", "0"]], ")"]]]]]]

 MathML Form

 sin - 1 ( z ) 2 z 2 + z 4 3 + 8 z 6 45 + /; ( z "\[Rule]" 0 ) Condition Proportional z 2 z 2 z 4 3 -1 8 z 6 45 -1 Rule z 0 [/itex]

 Rule Form

 Cell[BoxData[RowBox[List[RowBox[List["HoldPattern", "[", SuperscriptBox[RowBox[List["ArcSin", "[", "z_", "]"]], "2"], "]"]], "\[RuleDelayed]", RowBox[List[RowBox[List[SuperscriptBox["z", "2"], "+", FractionBox[SuperscriptBox["z", "4"], "3"], "+", FractionBox[RowBox[List["8", " ", SuperscriptBox["z", "6"]]], "45"], "+", "\[Ellipsis]"]], "/;", RowBox[List["(", RowBox[List["z", "\[Rule]", "0"]], ")"]]]]]]]]

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

 2001-10-29