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 Coth

 http://functions.wolfram.com/01.22.06.0006.02

 Input Form

 Coth[z] \[Proportional] (z - (Pi I)/2) + O[(z - (Pi I)/2)^3]

 Standard Form

 Cell[BoxData[RowBox[List[RowBox[List["Coth", "[", "z", "]"]], "\[Proportional]", RowBox[List[RowBox[List["(", RowBox[List["z", "-", FractionBox[RowBox[List["\[Pi]", " ", "\[ImaginaryI]"]], "2"]]], ")"]], "+", RowBox[List["O", "[", SuperscriptBox[RowBox[List["(", RowBox[List["z", "-", FractionBox[RowBox[List["\[Pi]", " ", "\[ImaginaryI]"]], "2"]]], ")"]], "3"], "]"]]]]]]]]

 MathML Form

 coth ( z ) ( z - π 2 ) + O ( ( z - π 2 ) 3 ) Proportional z z -1 2 -1 O z -1 2 -1 3 [/itex]

 Rule Form

 Cell[BoxData[RowBox[List[RowBox[List["HoldPattern", "[", RowBox[List["Coth", "[", "z_", "]"]], "]"]], "\[RuleDelayed]", RowBox[List[RowBox[List["(", RowBox[List["z", "-", FractionBox[RowBox[List["\[Pi]", " ", "\[ImaginaryI]"]], "2"]]], ")"]], "+", SuperscriptBox[RowBox[List["O", "[", RowBox[List["z", "-", FractionBox[RowBox[List["\[Pi]", " ", "\[ImaginaryI]"]], "2"]]], "]"]], "3"]]]]]]]

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

 2001-10-29