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 Csch

 http://functions.wolfram.com/01.23.16.0032.01

 Input Form

 Csch[z/2] == Sqrt[2]/Sqrt[Cosh[z] - 1] /; 0 < Re[z] && Abs[Im[z]] < Pi

 Standard Form

 Cell[BoxData[RowBox[List[RowBox[List[RowBox[List["Csch", "[", FractionBox["z", "2"], "]"]], "\[Equal]", FractionBox[SqrtBox["2"], SqrtBox[RowBox[List[RowBox[List["Cosh", "[", "z", "]"]], "-", "1"]]]]]], " ", "/;", RowBox[List[RowBox[List["0", "<", RowBox[List["Re", "[", "z", "]"]]]], "\[And]", RowBox[List[RowBox[List["Abs", "[", RowBox[List["Im", "[", "z", "]"]], "]"]], "<", "\[Pi]"]]]]]]]]

 MathML Form

 csch ( z 2 ) 2 cosh ( z ) - 1 /; 0 < Re ( z ) "\[LeftBracketingBar]" Im ( z ) "\[RightBracketingBar]" < π Condition z 2 -1 2 1 2 z -1 1 2 -1 0 z z [/itex]

 Rule Form

 Cell[BoxData[RowBox[List[RowBox[List["HoldPattern", "[", RowBox[List["Csch", "[", FractionBox["z_", "2"], "]"]], "]"]], "\[RuleDelayed]", RowBox[List[FractionBox[SqrtBox["2"], SqrtBox[RowBox[List[RowBox[List["Cosh", "[", "z", "]"]], "-", "1"]]]], "/;", RowBox[List[RowBox[List["0", "<", RowBox[List["Re", "[", "z", "]"]]]], "&&", RowBox[List[RowBox[List["Abs", "[", RowBox[List["Im", "[", "z", "]"]], "]"]], "<", "\[Pi]"]]]]]]]]]]

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

 2001-10-29