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 Gamma

 http://functions.wolfram.com/06.05.16.0019.01

 Input Form

 Gamma[z] Gamma[n - z] == (Pi/Sin[Pi z]) Pochhammer[1 - z, n - 1] /; Element[n, Integers]

 Standard Form

 Cell[BoxData[RowBox[List[RowBox[List[RowBox[List[RowBox[List["Gamma", "[", "z", "]"]], " ", RowBox[List["Gamma", "[", RowBox[List["n", "-", "z"]], "]"]]]], "\[Equal]", RowBox[List[FractionBox["\[Pi]", RowBox[List[" ", RowBox[List["Sin", "[", RowBox[List["\[Pi]", " ", "z"]], "]"]]]]], RowBox[List["Pochhammer", "[", RowBox[List[RowBox[List["1", "-", "z"]], ",", RowBox[List["n", "-", "1"]]]], "]"]]]]]], "/;", RowBox[List["n", "\[Element]", "Integers"]]]]]]

 MathML Form

 Γ ( z ) Γ ( n - z ) π sin ( π z ) ( 1 - z ) n - 1 TagBox[SubscriptBox[RowBox[List["(", RowBox[List["1", "-", "z"]], ")"]], RowBox[List["n", "-", "1"]]], Pochhammer] /; n TagBox["\[DoubleStruckCapitalZ]", Function[Integers]] Condition Gamma z Gamma n -1 z z -1 Pochhammer 1 -1 z n -1 n [/itex]

 Rule Form

 Cell[BoxData[RowBox[List[RowBox[List["HoldPattern", "[", RowBox[List[RowBox[List["Gamma", "[", "z_", "]"]], " ", RowBox[List["Gamma", "[", RowBox[List["n_", "-", "z_"]], "]"]]]], "]"]], "\[RuleDelayed]", RowBox[List[FractionBox[RowBox[List["\[Pi]", " ", RowBox[List["Pochhammer", "[", RowBox[List[RowBox[List["1", "-", "z"]], ",", RowBox[List["n", "-", "1"]]]], "]"]]]], RowBox[List["Sin", "[", RowBox[List["\[Pi]", " ", "z"]], "]"]]], "/;", RowBox[List["n", "\[Element]", "Integers"]]]]]]]]

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

 2007-05-02