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 Gamma

 http://functions.wolfram.com/06.06.04.0012.01

 Input Form

 Limit[Gamma[a, x + I \[Epsilon]], \[Epsilon] -> Plus[0]] == Gamma[a, x] /; x < 0

 Standard Form

 Cell[BoxData[RowBox[List[RowBox[List[RowBox[List["Limit", "[", RowBox[List[RowBox[List["Gamma", "[", RowBox[List["a", ",", RowBox[List["x", "+", RowBox[List["\[ImaginaryI]", " ", "\[Epsilon]"]]]]]], "]"]], ",", RowBox[List["\[Epsilon]", "\[Rule]", RowBox[List["+", "0"]]]]]], "]"]], "\[Equal]", " ", RowBox[List["Gamma", "[", RowBox[List["a", ",", "x"]], "]"]]]], "/;", RowBox[List["x", "<", "0"]]]]]]

 MathML Form

 lim ϵ "\[Rule]" + 0 Γ ( a , x + ϵ ) Γ ( a , x ) /; x < 0 Condition ϵ ϵ 0 Gamma a x ϵ Gamma a x x 0 [/itex]

 Rule Form

 Cell[BoxData[RowBox[List[RowBox[List["HoldPattern", "[", RowBox[List["Limit", "[", RowBox[List[RowBox[List["Gamma", "[", RowBox[List["a_", ",", RowBox[List["x_", "+", RowBox[List["\[ImaginaryI]", " ", "\[Epsilon]_"]]]]]], "]"]], ",", RowBox[List["\[Epsilon]_", "\[Rule]", RowBox[List["+", "0"]]]]]], "]"]], "]"]], "\[RuleDelayed]", RowBox[List[RowBox[List["Gamma", "[", RowBox[List["a", ",", "x"]], "]"]], "/;", RowBox[List["x", "<", "0"]]]]]]]]

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

 2001-10-29