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 Gamma

 http://functions.wolfram.com/06.05.08.0001.01

 Input Form

 1/Gamma[z] == z E^(z EulerGamma) Product[(1 + z/k)/E^(z/k), {k, 1, Infinity}]

 Standard Form

 Cell[BoxData[RowBox[List[FractionBox["1", RowBox[List["Gamma", "[", "z", "]"]]], "\[Equal]", RowBox[List["z", " ", SuperscriptBox["\[ExponentialE]", RowBox[List["z", " ", "EulerGamma"]]], RowBox[List[UnderoverscriptBox["\[Product]", RowBox[List["k", "=", "1"]], "\[Infinity]"], RowBox[List[RowBox[List["(", RowBox[List["1", "+", FractionBox["z", "k"]]], ")"]], " ", SuperscriptBox["\[ExponentialE]", RowBox[List["-", FractionBox["z", "k"]]]], " "]]]]]]]]]]

 MathML Form

 1 Γ ( z ) z z TagBox["\[DoubledGamma]", Function[EulerGamma]] k = 1 ( 1 + z k ) - z k 1 Gamma z -1 z z k 1 1 z k -1 -1 z k -1 [/itex]

 Rule Form

 Cell[BoxData[RowBox[List[RowBox[List["HoldPattern", "[", FractionBox["1", RowBox[List["Gamma", "[", "z_", "]"]]], "]"]], "\[RuleDelayed]", RowBox[List["z", " ", SuperscriptBox["\[ExponentialE]", RowBox[List["z", " ", "EulerGamma"]]], " ", RowBox[List[UnderoverscriptBox["\[Product]", RowBox[List["k", "=", "1"]], "\[Infinity]"], RowBox[List[RowBox[List["(", RowBox[List["1", "+", FractionBox["z", "k"]]], ")"]], " ", SuperscriptBox["\[ExponentialE]", RowBox[List["-", FractionBox["z", "k"]]]]]]]]]]]]]]

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

 2001-10-29