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 Coth

 http://functions.wolfram.com/01.22.16.0060.01

 Input Form

 Coth[z] + I Cot[z] == Csc[z] Csch[z] Sin[Sqrt[2] E^((I Pi)/4) z]

 Standard Form

 Cell[BoxData[RowBox[List[RowBox[List[RowBox[List["Coth", "[", "z", "]"]], "+", RowBox[List["\[ImaginaryI]", " ", RowBox[List["Cot", "[", "z", "]"]]]]]], "\[Equal]", RowBox[List[RowBox[List["Csc", "[", "z", "]"]], " ", RowBox[List["Csch", "[", "z", "]"]], " ", RowBox[List["Sin", "[", RowBox[List[SqrtBox["2"], " ", SuperscriptBox["\[ExponentialE]", FractionBox[RowBox[List["\[ImaginaryI]", " ", "\[Pi]"]], "4"]], " ", "z"]], "]"]]]]]]]]

 MathML Form

 coth ( z ) + cot ( z ) csc ( z ) csch ( z ) sin ( 2 π 4 z ) z z z z 2 1 2 4 -1 z [/itex]

 Rule Form

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

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

 2003-08-21