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 Pochhammer

 http://functions.wolfram.com/06.10.27.0002.01

 Input Form

 Pochhammer[a, n] == ((-1)^n Gamma[1 - a])/Gamma[1 - a - n] /; Element[n, Integers]

 Standard Form

 Cell[BoxData[RowBox[List[RowBox[List[RowBox[List["Pochhammer", "[", RowBox[List["a", ",", "n"]], "]"]], "\[Equal]", FractionBox[RowBox[List[SuperscriptBox[RowBox[List["(", RowBox[List["-", "1"]], ")"]], "n"], " ", RowBox[List["Gamma", "[", RowBox[List["1", "-", "a"]], "]"]]]], RowBox[List["Gamma", "[", RowBox[List["1", "-", "a", "-", "n"]], "]"]]]]], "/;", RowBox[List["n", "\[Element]", "Integers"]]]]]]

 MathML Form

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

 Rule Form

 Cell[BoxData[RowBox[List[RowBox[List["HoldPattern", "[", RowBox[List["Pochhammer", "[", RowBox[List["a_", ",", "n_"]], "]"]], "]"]], "\[RuleDelayed]", RowBox[List[FractionBox[RowBox[List[SuperscriptBox[RowBox[List["(", RowBox[List["-", "1"]], ")"]], "n"], " ", RowBox[List["Gamma", "[", RowBox[List["1", "-", "a"]], "]"]]]], RowBox[List["Gamma", "[", RowBox[List["1", "-", "a", "-", "n"]], "]"]]], "/;", RowBox[List["n", "\[Element]", "Integers"]]]]]]]]

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

 2001-10-29