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 Cot

 http://functions.wolfram.com/01.09.10.0004.01

 Input Form

 Cot[z] == 1/z + (1/z) ContinueFraction[{-z^2, 1 + 2 k}, {k, 1, Infinity}]

 Standard Form

 Cell[BoxData[RowBox[List[RowBox[List["Cot", "[", "z", "]"]], "\[Equal]", RowBox[List[FractionBox["1", "z"], "+", RowBox[List[FractionBox["1", "z"], RowBox[List["ContinueFraction", "[", RowBox[List[RowBox[List["{", RowBox[List[RowBox[List["-", SuperscriptBox["z", "2"]]], ",", RowBox[List["1", "+", RowBox[List["2", " ", "k"]]]]]], "}"]], ",", RowBox[List["{", RowBox[List["k", ",", "1", ",", "\[Infinity]"]], "}"]]]], "]"]]]]]]]]]]

 MathML Form

 cot ( z ) 1 z + 1 z Κ k ( - z 2 , 2 k + 1 ) 1 z 1 z -1 1 z -1 Subscript Subscript Κ k -1 z 2 2 k 1 1 [/itex]

 Rule Form

 Cell[BoxData[RowBox[List[RowBox[List["HoldPattern", "[", RowBox[List["Cot", "[", "z_", "]"]], "]"]], "\[RuleDelayed]", RowBox[List[FractionBox["1", "z"], "+", FractionBox[RowBox[List["ContinueFraction", "[", RowBox[List[RowBox[List["{", RowBox[List[RowBox[List["-", SuperscriptBox["z", "2"]]], ",", RowBox[List["1", "+", RowBox[List["2", " ", "k"]]]]]], "}"]], ",", RowBox[List["{", RowBox[List["k", ",", "1", ",", "\[Infinity]"]], "}"]]]], "]"]], "z"]]]]]]]

 Contributed by

 Andreas Lauschke (2006)

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

 2007-05-02