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 EllipticPi

 http://functions.wolfram.com/08.03.04.0014.01

 Input Form

 Limit[EllipticPi[n - I \[Epsilon], m], \[Epsilon] -> Plus[0]] == EllipticPi[n, m] /; n > 1

 Standard Form

 Cell[BoxData[RowBox[List[RowBox[List[RowBox[List["Limit", "[", RowBox[List[RowBox[List["EllipticPi", "[", RowBox[List[RowBox[List["n", "-", RowBox[List["\[ImaginaryI]", " ", "\[Epsilon]"]]]], ",", "m"]], "]"]], ",", RowBox[List["\[Epsilon]", "\[Rule]", RowBox[List["+", "0"]]]]]], "]"]], "\[Equal]", " ", RowBox[List["EllipticPi", "[", RowBox[List["n", ",", "m"]], "]"]]]], "/;", RowBox[List["n", ">", "1"]]]]]]

 MathML Form

 lim ϵ "\[Rule]" + 0 Π ( n - ϵ m ) Π ( n m ) /; n > 1 Condition ϵ ϵ 0 EllipticPi n -1 ϵ m EllipticPi n m n 1 [/itex]

 Rule Form

 Cell[BoxData[RowBox[List[RowBox[List["HoldPattern", "[", RowBox[List["Limit", "[", RowBox[List[RowBox[List["EllipticPi", "[", RowBox[List[RowBox[List["n_", "-", RowBox[List["\[ImaginaryI]", " ", "\[Epsilon]_"]]]], ",", "m_"]], "]"]], ",", RowBox[List["\[Epsilon]_", "\[Rule]", RowBox[List["+", "0"]]]]]], "]"]], "]"]], "\[RuleDelayed]", RowBox[List[RowBox[List["EllipticPi", "[", RowBox[List["n", ",", "m"]], "]"]], "/;", RowBox[List["n", ">", "1"]]]]]]]]

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

 2007-05-02