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 ArcCot

 http://functions.wolfram.com/01.16.06.0001.02

 Input Form

 ArcCot[z] \[Proportional] (Pi/2) Sqrt[1/z^2] z - z + z^3/3 - z^5/5 + \[Ellipsis] /; (z -> 0)

 Standard Form

 Cell[BoxData[RowBox[List[RowBox[List[RowBox[List["ArcCot", "[", "z", "]"]], "\[Proportional]", RowBox[List[RowBox[List[FractionBox["\[Pi]", "2"], SqrtBox[FractionBox["1", SuperscriptBox["z", "2"]]], " ", "z"]], "-", "z", "+", FractionBox[SuperscriptBox["z", "3"], "3"], "-", FractionBox[SuperscriptBox["z", "5"], "5"], "+", "\[Ellipsis]"]]]], "/;", RowBox[List["(", RowBox[List["z", "\[Rule]", "0"]], ")"]]]]]]

 MathML Form

 cot - 1 ( z ) π 2 1 z 2 z - z + z 3 3 - z 5 5 + /; ( z "\[Rule]" 0 ) Condition Proportional z 2 -1 1 z 2 -1 1 2 z -1 z z 3 3 -1 -1 z 5 5 -1 Rule z 0 [/itex]

 Rule Form

 Cell[BoxData[RowBox[List[RowBox[List["HoldPattern", "[", RowBox[List["ArcCot", "[", "z_", "]"]], "]"]], "\[RuleDelayed]", RowBox[List[RowBox[List[RowBox[List[FractionBox["1", "2"], " ", "\[Pi]", " ", SqrtBox[FractionBox["1", SuperscriptBox["z", "2"]]], " ", "z"]], "-", "z", "+", FractionBox[SuperscriptBox["z", "3"], "3"], "-", FractionBox[SuperscriptBox["z", "5"], "5"], "+", "\[Ellipsis]"]], "/;", RowBox[List["(", RowBox[List["z", "\[Rule]", "0"]], ")"]]]]]]]]

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

 2001-10-29