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 Gamma

 http://functions.wolfram.com/06.05.03.0002.01

 Input Form

 Gamma[n/2] == (2^(1 - n) Sqrt[Pi] (n - 1)!)/((n - 1)/2)! /; Element[n, Integers] && n > 0

 Standard Form

 Cell[BoxData[RowBox[List[RowBox[List[RowBox[List["Gamma", "[", FractionBox["n", "2"], "]"]], "\[Equal]", FractionBox[RowBox[List[SuperscriptBox["2", RowBox[List["1", "-", "n"]]], " ", SqrtBox["\[Pi]"], " ", RowBox[List[RowBox[List["(", RowBox[List["n", "-", "1"]], ")"]], "!"]]]], RowBox[List[RowBox[List["(", FractionBox[RowBox[List["n", "-", "1"]], "2"], ")"]], "!"]]]]], "/;", RowBox[List[RowBox[List["n", "\[Element]", "Integers"]], "\[And]", RowBox[List["n", ">", "0"]]]]]]]]

 MathML Form

 Γ ( n 2 ) 2 1 - n π ( n - 1 ) ! n - 1 2 ! /; n + Condition Gamma n 2 -1 2 1 -1 n 1 2 n -1 n -1 2 -1 -1 n SuperPlus [/itex]

 Rule Form

 Cell[BoxData[RowBox[List[RowBox[List["HoldPattern", "[", RowBox[List["Gamma", "[", FractionBox["n_", "2"], "]"]], "]"]], "\[RuleDelayed]", RowBox[List[FractionBox[RowBox[List[SuperscriptBox["2", RowBox[List["1", "-", "n"]]], " ", SqrtBox["\[Pi]"], " ", RowBox[List[RowBox[List["(", RowBox[List["n", "-", "1"]], ")"]], "!"]]]], RowBox[List[FractionBox[RowBox[List["n", "-", "1"]], "2"], "!"]]], "/;", RowBox[List[RowBox[List["n", "\[Element]", "Integers"]], "&&", RowBox[List["n", ">", "0"]]]]]]]]]]

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

 2001-10-29