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 Csc

 http://functions.wolfram.com/01.10.27.0045.01

 Input Form

 Csc[z] == (Sqrt[z^2]/z) (Sqrt[2]/Sqrt[1 - Cosh[2 I z]]) /; Abs[Re[z]] < Pi

 Standard Form

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

 MathML Form

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

 Rule Form

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

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

 2001-10-29