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 Gamma

 http://functions.wolfram.com/06.05.19.0004.01

 Input Form

 Abs[Gamma[1/2 + I y]] == Sqrt[Pi Sech[Pi y]] /; Element[y, Reals]

 Standard Form

 Cell[BoxData[RowBox[List[RowBox[List[RowBox[List["Abs", "[", RowBox[List["Gamma", "[", RowBox[List[FractionBox["1", "2"], "+", RowBox[List["\[ImaginaryI]", " ", "y"]]]], "]"]], "]"]], "\[Equal]", SqrtBox[RowBox[List["\[Pi]", " ", RowBox[List["Sech", "[", RowBox[List["\[Pi]", " ", "y"]], "]"]]]]]]], "/;", RowBox[List["y", "\[Element]", "Reals"]]]]]]

 MathML Form

 "\[LeftBracketingBar]" Γ ( 1 2 + y ) "\[RightBracketingBar]" π sech ( π y ) /; y TagBox["\[DoubleStruckCapitalR]", Function[Reals]] Condition Gamma 1 2 y y 1 2 y [/itex]

 Rule Form

 Cell[BoxData[RowBox[List[RowBox[List["HoldPattern", "[", RowBox[List["Abs", "[", RowBox[List["Gamma", "[", RowBox[List[FractionBox["1", "2"], "+", RowBox[List["\[ImaginaryI]", " ", "y_"]]]], "]"]], "]"]], "]"]], "\[RuleDelayed]", RowBox[List[SqrtBox[RowBox[List["\[Pi]", " ", RowBox[List["Sech", "[", RowBox[List["\[Pi]", " ", "y"]], "]"]]]]], "/;", RowBox[List["y", "\[Element]", "Reals"]]]]]]]]

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

 2001-10-29