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 Csch

 http://functions.wolfram.com/01.23.27.0042.01

 Input Form

 Csch[z] == Sqrt[-z^2]/(z Sqrt[1 - Cosh[z]^2]) /; Abs[Im[z]] < Pi

 Standard Form

 Cell[BoxData[RowBox[List[RowBox[List[RowBox[List["Csch", "[", "z", "]"]], "\[Equal]", FractionBox[SqrtBox[RowBox[List["-", SuperscriptBox["z", "2"]]]], RowBox[List["z", " ", SqrtBox[RowBox[List["1", "-", SuperscriptBox[RowBox[List["Cosh", "[", "z", "]"]], "2"]]]]]]]]], "/;", RowBox[List[RowBox[List["Abs", "[", RowBox[List["Im", "[", "z", "]"]], "]"]], "<", "\[Pi]"]]]]]]

 MathML Form

 csch ( z ) - z 2 z 1 1 - cosh 2 ( z ) /; "\[LeftBracketingBar]" Im ( z ) "\[RightBracketingBar]" < π Condition z -1 z 2 1 2 z -1 1 1 -1 z 2 1 2 -1 z [/itex]

 Rule Form

 Cell[BoxData[RowBox[List[RowBox[List["HoldPattern", "[", RowBox[List["Csch", "[", "z_", "]"]], "]"]], "\[RuleDelayed]", RowBox[List[FractionBox[SqrtBox[RowBox[List["-", SuperscriptBox["z", "2"]]]], RowBox[List["z", " ", SqrtBox[RowBox[List["1", "-", SuperscriptBox[RowBox[List["Cosh", "[", "z", "]"]], "2"]]]]]]], "/;", RowBox[List[RowBox[List["Abs", "[", RowBox[List["Im", "[", "z", "]"]], "]"]], "<", "\[Pi]"]]]]]]]]

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

 2001-10-29