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 Csch

 http://functions.wolfram.com/01.23.19.0001.01

 Input Form

 Re[Csch[x + I y]] == -((2 Cos[y] Sinh[x])/(Cos[2 y] - Cosh[2 x]))

 Standard Form

 Cell[BoxData[RowBox[List[RowBox[List["Re", "[", RowBox[List["Csch", "[", RowBox[List["x", "+", RowBox[List["\[ImaginaryI]", " ", "y"]]]], "]"]], "]"]], "\[Equal]", RowBox[List["-", FractionBox[RowBox[List["2", " ", RowBox[List["Cos", "[", "y", "]"]], " ", RowBox[List["Sinh", "[", "x", "]"]]]], RowBox[List[RowBox[List["Cos", "[", RowBox[List["2", " ", "y"]], "]"]], "-", RowBox[List["Cosh", "[", RowBox[List["2", " ", "x"]], "]"]]]]]]]]]]]

 MathML Form

 Re ( csch ( x + y ) ) - 2 cos ( y ) sinh ( x ) cos ( 2 y ) - cosh ( 2 x ) x y -1 2 y x 2 y -1 2 x -1 [/itex]

 Rule Form

 Cell[BoxData[RowBox[List[RowBox[List["HoldPattern", "[", RowBox[List["Re", "[", RowBox[List["Csch", "[", RowBox[List["x_", "+", RowBox[List["\[ImaginaryI]", " ", "y_"]]]], "]"]], "]"]], "]"]], "\[RuleDelayed]", RowBox[List["-", FractionBox[RowBox[List["2", " ", RowBox[List["Cos", "[", "y", "]"]], " ", RowBox[List["Sinh", "[", "x", "]"]]]], RowBox[List[RowBox[List["Cos", "[", RowBox[List["2", " ", "y"]], "]"]], "-", RowBox[List["Cosh", "[", RowBox[List["2", " ", "x"]], "]"]]]]]]]]]]]

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

 2001-10-29