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 Coth

 http://functions.wolfram.com/01.22.16.0032.01

 Input Form

 Coth[a - (I Pi)/4] == ((I Coth[a] + 1) I)/(I Coth[a] - 1)

 Standard Form

 Cell[BoxData[RowBox[List[RowBox[List["Coth", "[", RowBox[List["a", "-", FractionBox[RowBox[List["\[ImaginaryI]", " ", "\[Pi]"]], "4"]]], "]"]], "\[Equal]", FractionBox[RowBox[List[RowBox[List["(", RowBox[List[RowBox[List["\[ImaginaryI]", " ", RowBox[List["Coth", "[", "a", "]"]]]], "+", "1"]], ")"]], " ", "\[ImaginaryI]"]], RowBox[List[RowBox[List["\[ImaginaryI]", " ", RowBox[List["Coth", "[", "a", "]"]]]], "-", "1"]]]]]]]

 MathML Form

 coth ( a - π 4 ) ( coth ( a ) + 1 ) coth ( a ) - 1 a -1 4 -1 a 1 a -1 -1 [/itex]

 Rule Form

 Cell[BoxData[RowBox[List[RowBox[List["HoldPattern", "[", RowBox[List["Coth", "[", RowBox[List["a_", "-", FractionBox[RowBox[List["\[ImaginaryI]", " ", "\[Pi]"]], "4"]]], "]"]], "]"]], "\[RuleDelayed]", FractionBox[RowBox[List[RowBox[List["(", RowBox[List[RowBox[List["\[ImaginaryI]", " ", RowBox[List["Coth", "[", "a", "]"]]]], "+", "1"]], ")"]], " ", "\[ImaginaryI]"]], RowBox[List[RowBox[List["\[ImaginaryI]", " ", RowBox[List["Coth", "[", "a", "]"]]]], "-", "1"]]]]]]]

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

 2001-10-29

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