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 Gamma

 http://functions.wolfram.com/06.05.07.0004.01

 Input Form

 Gamma[z] == Integrate[Log[1/t]^(z - 1), {t, 0, 1}] /; Re[z] > 0

 Standard Form

 Cell[BoxData[RowBox[List[RowBox[List[RowBox[List["Gamma", "[", "z", "]"]], "\[Equal]", RowBox[List[SubsuperscriptBox["\[Integral]", "0", "1"], RowBox[List[SuperscriptBox[RowBox[List["Log", "[", FractionBox["1", "t"], "]"]], RowBox[List["z", "-", "1"]]], RowBox[List["\[DifferentialD]", "t"]]]]]]]], "/;", RowBox[List[RowBox[List["Re", "[", "z", "]"]], ">", "0"]]]]]]

 MathML Form

 Γ ( z ) 0 1 log z - 1 ( 1 t ) t /; Re ( z ) > 0 Condition Gamma z t 0 1 1 t -1 z -1 z 0 [/itex]

 Rule Form

 Cell[BoxData[RowBox[List[RowBox[List["HoldPattern", "[", RowBox[List["Gamma", "[", "z_", "]"]], "]"]], "\[RuleDelayed]", RowBox[List[RowBox[List[SubsuperscriptBox["\[Integral]", "0", "1"], RowBox[List[SuperscriptBox[RowBox[List["Log", "[", FractionBox["1", "t"], "]"]], RowBox[List["z", "-", "1"]]], RowBox[List["\[DifferentialD]", "t"]]]]]], "/;", RowBox[List[RowBox[List["Re", "[", "z", "]"]], ">", "0"]]]]]]]]

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

 2001-10-29