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 Coth

 http://functions.wolfram.com/01.22.10.0003.01

 Input Form

 Coth[z] == 1/z + z/(3 + z^2/(5 + z^2/(7 + z^2/(9 + z^2/(11 + \[Ellipsis])))))

 Standard Form

 Cell[BoxData[RowBox[List[RowBox[List["Coth", "[", "z", "]"]], "\[Equal]", RowBox[List[FractionBox["1", "z"], "+", FractionBox[RowBox[List[" ", "z"]], RowBox[List["3", "+", FractionBox[SuperscriptBox["z", "2"], RowBox[List["5", "+", FractionBox[SuperscriptBox["z", "2"], RowBox[List["7", "+", FractionBox[SuperscriptBox["z", "2"], RowBox[List["9", "+", FractionBox[SuperscriptBox["z", "2"], RowBox[List["11", "+", "\[Ellipsis]"]]]]]]]]]]]]]]]]]]]]]

 MathML Form

 coth ( z ) 1 z + z 3 + z 2 5 + z 2 7 + z 2 9 + z 2 11 + z 1 z -1 z 3 z 2 5 z 2 7 z 2 9 z 2 11 -1 -1 -1 -1 -1 [/itex]

 Rule Form

 Cell[BoxData[RowBox[List[RowBox[List["HoldPattern", "[", RowBox[List["Coth", "[", "z_", "]"]], "]"]], "\[RuleDelayed]", RowBox[List[FractionBox["1", "z"], "+", FractionBox["z", RowBox[List["3", "+", FractionBox[SuperscriptBox["z", "2"], RowBox[List["5", "+", FractionBox[SuperscriptBox["z", "2"], RowBox[List["7", "+", FractionBox[SuperscriptBox["z", "2"], RowBox[List["9", "+", FractionBox[SuperscriptBox["z", "2"], RowBox[List["11", "+", "\[Ellipsis]"]]]]]]]]]]]]]]]]]]]]]

 Contributed by

 Andreas Lauschke (2006)

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

 2007-05-02