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 Beta

 http://functions.wolfram.com/06.19.04.0021.01

 Input Form

 Limit[Beta[x - I \[Epsilon], a, b], \[Epsilon] -> Plus[0]] == Beta[x, a, b] /; x > 1

 Standard Form

 Cell[BoxData[RowBox[List[RowBox[List[RowBox[List["Limit", "[", RowBox[List[RowBox[List["Beta", "[", RowBox[List[RowBox[List["x", "-", RowBox[List["\[ImaginaryI]", " ", "\[Epsilon]"]]]], ",", "a", ",", "b"]], "]"]], ",", RowBox[List["\[Epsilon]", "\[Rule]", RowBox[List["+", "0"]]]]]], "]"]], "\[Equal]", " ", RowBox[List["Beta", "[", RowBox[List["x", ",", "a", ",", "b"]], "]"]]]], "/;", RowBox[List["x", ">", "1"]]]]]]

 MathML Form

 lim ϵ "\[Rule]" + 0 Β Beta x - ϵ ( a , b ) Β Beta x ( a , b ) /; x > 1 Condition ϵ ϵ 0 Beta x -1 ϵ a b Beta x a b x 1 [/itex]

 Rule Form

 Cell[BoxData[RowBox[List[RowBox[List["HoldPattern", "[", RowBox[List["Limit", "[", RowBox[List[RowBox[List["Beta", "[", RowBox[List[RowBox[List["x_", "-", RowBox[List["\[ImaginaryI]", " ", "\[Epsilon]_"]]]], ",", "a_", ",", "b_"]], "]"]], ",", RowBox[List["\[Epsilon]_", "\[Rule]", RowBox[List["+", "0"]]]]]], "]"]], "]"]], "\[RuleDelayed]", RowBox[List[RowBox[List["Beta", "[", RowBox[List["x", ",", "a", ",", "b"]], "]"]], "/;", RowBox[List["x", ">", "1"]]]]]]]]

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

 2001-10-29