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 EllipticPi

 http://functions.wolfram.com/08.06.04.0013.01

 Input Form

 RamificationIndex[EllipticPi[n, z, m], z, -ArcSin[1/Sqrt[n]] + Pi k] == Log /; Element[k, Integers]

 Standard Form

 Cell[BoxData[RowBox[List[RowBox[List[RowBox[List["RamificationIndex", "[", RowBox[List[RowBox[List["EllipticPi", "[", RowBox[List["n", ",", "z", ",", "m"]], "]"]], ",", "z", ",", RowBox[List[RowBox[List["-", RowBox[List["ArcSin", "[", FractionBox["1", SqrtBox["n"]], "]"]]]], "+", RowBox[List["\[Pi]", " ", "k"]]]]]], "]"]], "\[Equal]", "Log"]], "/;", RowBox[List["k", "\[Element]", "Integers"]]]]]]

 MathML Form

 z ( Π ( n ; z m ) , - sin - 1 ( 1 n ) + π k ) log /; k Condition Subscript z EllipticPi n z m -1 1 n 1 2 -1 k log k [/itex]

 Rule Form

 Cell[BoxData[RowBox[List[RowBox[List["HoldPattern", "[", RowBox[List["RamificationIndex", "[", RowBox[List[RowBox[List["EllipticPi", "[", RowBox[List["n_", ",", "z_", ",", "m_"]], "]"]], ",", "z_", ",", RowBox[List[RowBox[List["-", RowBox[List["ArcSin", "[", FractionBox["1", SqrtBox["n_"]], "]"]]]], "+", RowBox[List["\[Pi]", " ", "k"]]]]]], "]"]], "]"]], "\[RuleDelayed]", RowBox[List["Log", "/;", RowBox[List["k", "\[Element]", "Integers"]]]]]]]]

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

 2001-10-29