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 Gamma

 http://functions.wolfram.com/06.05.06.0020.01

 Input Form

 Gamma[z + \[Epsilon]] \[Proportional] Gamma[z] (1 + O[\[Epsilon]]) /; !(Element[z, Integers] && z <= 0)

 Standard Form

 Cell[BoxData[RowBox[List[RowBox[List[RowBox[List["Gamma", "[", RowBox[List["z", "+", "\[Epsilon]"]], "]"]], "\[Proportional]", RowBox[List[RowBox[List["Gamma", "[", "z", "]"]], " ", RowBox[List["(", RowBox[List["1", "+", RowBox[List["O", "[", "\[Epsilon]", "]"]]]], ")"]]]]]], "/;", RowBox[List["Not", "[", RowBox[List[RowBox[List["z", "\[Element]", "Integers"]], "\[And]", RowBox[List["z", "\[LessEqual]", "0"]]]], "]"]]]]]]

 MathML Form

 Γ ( z + ϵ ) Γ ( z ) ( 1 + O ( ϵ ) ) /; ¬ ( z TagBox["\[DoubleStruckCapitalZ]", Function[Integers]] z 0 ) Condition Proportional Gamma z ϵ Gamma z 1 O ϵ z z 0 [/itex]

 Rule Form

 Cell[BoxData[RowBox[List[RowBox[List["HoldPattern", "[", RowBox[List["Gamma", "[", RowBox[List["z_", "+", "\[Epsilon]_"]], "]"]], "]"]], "\[RuleDelayed]", RowBox[List[RowBox[List[RowBox[List["Gamma", "[", "z", "]"]], " ", RowBox[List["(", RowBox[List["1", "+", RowBox[List["O", "[", "\[Epsilon]", "]"]]]], ")"]]]], "/;", RowBox[List["!", RowBox[List["(", RowBox[List[RowBox[List["z", "\[Element]", "Integers"]], "&&", RowBox[List["z", "\[LessEqual]", "0"]]]], ")"]]]]]]]]]]

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

 2007-05-02