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 Pochhammer

 http://functions.wolfram.com/06.10.03.0008.01

 Input Form

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

 Standard Form

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

 MathML Form

 ( a ) - n TagBox[SubscriptBox[RowBox[List["(", "a", ")"]], RowBox[List["-", "n"]]], Pochhammer] k = 1 n 1 a - k /; n + Condition Pochhammer a -1 n k 1 n 1 a -1 k -1 n SuperPlus [/itex]

 Rule Form

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

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

 2001-10-29