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 Csc

 http://functions.wolfram.com/01.10.07.0001.01

 Input Form

 Csc[z] == (1/Pi) Integrate[t^(z/Pi)/(t^2 + t), {t, 0, Infinity}] /; 0 < Re[z] < Pi

 Standard Form

 Cell[BoxData[RowBox[List[RowBox[List[RowBox[List["Csc", "[", "z", "]"]], "\[Equal]", RowBox[List[FractionBox[RowBox[List["1", " "]], "\[Pi]"], RowBox[List[SubsuperscriptBox["\[Integral]", "0", "\[Infinity]"], RowBox[List[FractionBox[SuperscriptBox["t", FractionBox[RowBox[List[" ", "z"]], "\[Pi]"]], RowBox[List[SuperscriptBox["t", "2"], "+", "t"]]], RowBox[List["\[DifferentialD]", "t"]]]]]]]]]], "/;", " ", RowBox[List["0", "<", RowBox[List["Re", "[", "z", "]"]], "<", "\[Pi]"]]]]]]

 MathML Form

 csc ( z ) 1 π 0 1 t 2 + t t z / π t /; 0 < Re ( z ) < π Condition z 1 -1 t 0 1 t 2 t -1 t z -1 0 z [/itex]

 Rule Form

 Cell[BoxData[RowBox[List[RowBox[List["HoldPattern", "[", RowBox[List["Csc", "[", "z_", "]"]], "]"]], "\[RuleDelayed]", RowBox[List[FractionBox[RowBox[List[SubsuperscriptBox["\[Integral]", "0", "\[Infinity]"], RowBox[List[FractionBox[SuperscriptBox["t", RowBox[List["z", "/", "\[Pi]"]]], RowBox[List[SuperscriptBox["t", "2"], "+", "t"]]], RowBox[List["\[DifferentialD]", "t"]]]]]], "\[Pi]"], "/;", RowBox[List["0", "<", RowBox[List["Re", "[", "z", "]"]], "<", "\[Pi]"]]]]]]]]

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

 2001-10-29