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 Csch

 http://functions.wolfram.com/01.23.16.0033.01

 Input Form

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

 Standard Form

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

 MathML Form

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

 Rule Form

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

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

 2001-10-29