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 Coth

 http://functions.wolfram.com/01.22.16.0056.01

 Input Form

 Coth[z] + I Tan[z] == Cosh[Sqrt[2] E^((I Pi)/4) z] Csch[z] Sec[z]

 Standard Form

 Cell[BoxData[RowBox[List[RowBox[List[RowBox[List["Coth", "[", "z", "]"]], "+", RowBox[List["\[ImaginaryI]", " ", RowBox[List["Tan", "[", "z", "]"]]]]]], "\[Equal]", RowBox[List[RowBox[List["Cosh", "[", RowBox[List[SqrtBox["2"], " ", SuperscriptBox["\[ExponentialE]", FractionBox[RowBox[List["\[ImaginaryI]", " ", "\[Pi]"]], "4"]], " ", "z"]], "]"]], " ", RowBox[List["Csch", "[", "z", "]"]], " ", RowBox[List["Sec", "[", "z", "]"]]]]]]]]

 MathML Form

 coth ( z ) + tan ( z ) cosh ( 2 π 4 z ) csch ( z ) sec ( z ) z z 2 1 2 4 -1 z z z [/itex]

 Rule Form

 Cell[BoxData[RowBox[List[RowBox[List["HoldPattern", "[", RowBox[List[RowBox[List["Coth", "[", "z_", "]"]], "+", RowBox[List["\[ImaginaryI]", " ", RowBox[List["Tan", "[", "z_", "]"]]]]]], "]"]], "\[RuleDelayed]", RowBox[List[RowBox[List["Cosh", "[", RowBox[List[SqrtBox["2"], " ", SuperscriptBox["\[ExponentialE]", FractionBox[RowBox[List["\[ImaginaryI]", " ", "\[Pi]"]], "4"]], " ", "z"]], "]"]], " ", RowBox[List["Csch", "[", "z", "]"]], " ", RowBox[List["Sec", "[", "z", "]"]]]]]]]]

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

 2003-08-21