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 Csch

 http://functions.wolfram.com/01.23.16.0039.01

 Input Form

 Csch[a] - Csch[b] == -2 Sinh[a/2 - b/2] Cosh[a/2 + b/2] Csch[a] Csch[b]

 Standard Form

 Cell[BoxData[RowBox[List[RowBox[List[RowBox[List["Csch", "[", "a", "]"]], "-", RowBox[List["Csch", "[", "b", "]"]]]], "\[Equal]", RowBox[List[RowBox[List["-", "2"]], " ", RowBox[List["Sinh", "[", RowBox[List[FractionBox["a", "2"], "-", FractionBox["b", "2"]]], "]"]], " ", RowBox[List["Cosh", "[", RowBox[List[FractionBox["a", "2"], "+", FractionBox["b", "2"]]], "]"]], " ", RowBox[List["Csch", "[", "a", "]"]], " ", RowBox[List["Csch", "[", "b", "]"]]]]]]]]

 MathML Form

 csch ( a ) - csch ( b ) - 2 sinh ( a 2 - b 2 ) cosh ( a 2 + b 2 ) csch ( a ) csch ( b ) a -1 b -2 a 2 -1 -1 b 2 -1 a 2 -1 b 2 -1 a b [/itex]

 Rule Form

 Cell[BoxData[RowBox[List[RowBox[List["HoldPattern", "[", RowBox[List[RowBox[List["Csch", "[", "a_", "]"]], "-", RowBox[List["Csch", "[", "b_", "]"]]]], "]"]], "\[RuleDelayed]", RowBox[List[RowBox[List["-", "2"]], " ", RowBox[List["Sinh", "[", RowBox[List[FractionBox["a", "2"], "-", FractionBox["b", "2"]]], "]"]], " ", RowBox[List["Cosh", "[", RowBox[List[FractionBox["a", "2"], "+", FractionBox["b", "2"]]], "]"]], " ", RowBox[List["Csch", "[", "a", "]"]], " ", RowBox[List["Csch", "[", "b", "]"]]]]]]]]

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

 2001-10-29