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 Coth

 http://functions.wolfram.com/01.22.06.0001.02

 Input Form

 Coth[z] \[Proportional] 1/z + z/3 - z^3/45 + (2 z^5)/945 - \[Ellipsis] /; (z -> 0)

 Standard Form

 Cell[BoxData[RowBox[List[RowBox[List[RowBox[List["Coth", "[", "z", "]"]], "\[Proportional]", RowBox[List[FractionBox["1", "z"], "+", FractionBox["z", "3"], "-", FractionBox[SuperscriptBox["z", "3"], "45"], "+", FractionBox[RowBox[List["2", " ", SuperscriptBox["z", "5"]]], "945"], "-", "\[Ellipsis]"]]]], "/;", RowBox[List["(", RowBox[List["z", "\[Rule]", "0"]], ")"]]]]]]

 MathML Form

 coth ( z ) 1 z + z 3 - z 3 45 + 2 z 5 945 - /; ( z "\[Rule]" 0 ) Condition Proportional z 1 z -1 z 3 -1 -1 z 3 45 -1 2 z 5 945 -1 -1 Rule z 0 [/itex]

 Rule Form

 Cell[BoxData[RowBox[List[RowBox[List["HoldPattern", "[", RowBox[List["Coth", "[", "z_", "]"]], "]"]], "\[RuleDelayed]", RowBox[List[RowBox[List[FractionBox["1", "z"], "+", FractionBox["z", "3"], "-", FractionBox[SuperscriptBox["z", "3"], "45"], "+", FractionBox[RowBox[List["2", " ", SuperscriptBox["z", "5"]]], "945"], "-", "\[Ellipsis]"]], "/;", RowBox[List["(", RowBox[List["z", "\[Rule]", "0"]], ")"]]]]]]]]

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

 2001-10-29