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 Gamma

 http://functions.wolfram.com/06.05.16.0022.01

 Input Form

 Gamma[z - n]/Gamma[z] == Product[1/(z - k), {k, 1, n}] /; Element[n, Integers] && n > 0

 Standard Form

 Cell[BoxData[RowBox[List[RowBox[List[FractionBox[RowBox[List["Gamma", "[", RowBox[List["z", "-", "n"]], "]"]], RowBox[List["Gamma", "[", "z", "]"]]], "\[Equal]", RowBox[List[UnderoverscriptBox["\[Product]", RowBox[List["k", "=", "1"]], "n"], FractionBox["1", RowBox[List["z", "-", "k"]]]]]]], "/;", RowBox[List[RowBox[List["n", "\[Element]", "Integers"]], "\[And]", RowBox[List["n", ">", "0"]]]]]]]]

 MathML Form

 Γ ( z - n ) Γ ( z ) k = 1 n 1 z - k /; n TagBox["\[DoubleStruckCapitalN]", Function[Integers]] + Condition Gamma z -1 n Gamma z -1 k 1 n 1 z -1 k -1 n SuperPlus [/itex]

 Rule Form

 Cell[BoxData[RowBox[List[RowBox[List["HoldPattern", "[", FractionBox[RowBox[List["Gamma", "[", RowBox[List["z_", "-", "n_"]], "]"]], RowBox[List["Gamma", "[", "z_", "]"]]], "]"]], "\[RuleDelayed]", RowBox[List[RowBox[List[UnderoverscriptBox["\[Product]", RowBox[List["k", "=", "1"]], "n"], FractionBox["1", RowBox[List["z", "-", "k"]]]]], "/;", RowBox[List[RowBox[List["n", "\[Element]", "Integers"]], "&&", RowBox[List["n", ">", "0"]]]]]]]]]]

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

 2007-05-02

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