html, body, form { margin: 0; padding: 0; width: 100%; } #calculate { position: relative; width: 177px; height: 110px; background: transparent url(/images/alphabox/embed_functions_inside.gif) no-repeat scroll 0 0; } #i { position: relative; left: 18px; top: 44px; width: 133px; border: 0 none; outline: 0; font-size: 11px; } #eq { width: 9px; height: 10px; background: transparent; position: absolute; top: 47px; right: 18px; cursor: pointer; }

 Gamma

 http://functions.wolfram.com/06.05.16.0021.01

 Input Form

 Gamma[z - n]/Gamma[z] == (-1)^n/Pochhammer[1 - z, 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]", FractionBox[SuperscriptBox[RowBox[List["(", RowBox[List["-", "1"]], ")"]], "n"], RowBox[List["Pochhammer", "[", RowBox[List[RowBox[List["1", "-", "z"]], ",", "n"]], "]"]]]]], "/;", RowBox[List[RowBox[List["n", "\[Element]", "Integers"]], "\[And]", RowBox[List["n", "\[GreaterEqual]", "0"]]]]]]]]

 MathML Form

 Γ ( z - n ) Γ ( z ) ( - 1 ) n ( 1 - z ) n TagBox[SubscriptBox[RowBox[List["(", RowBox[List["1", "-", "z"]], ")"]], "n"], Pochhammer] /; n TagBox["\[DoubleStruckCapitalN]", Function[Integers]] Condition Gamma z -1 n Gamma z -1 -1 n Pochhammer 1 -1 z n -1 n [/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[FractionBox[SuperscriptBox[RowBox[List["(", RowBox[List["-", "1"]], ")"]], "n"], RowBox[List["Pochhammer", "[", RowBox[List[RowBox[List["1", "-", "z"]], ",", "n"]], "]"]]], "/;", RowBox[List[RowBox[List["n", "\[Element]", "Integers"]], "&&", RowBox[List["n", "\[GreaterEqual]", "0"]]]]]]]]]]

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

 2007-05-02